1. Poul Heegaard Poul Heegaard (1871 1948), a home page, created by Ellen S. and Hans J. Munkholm. Poul Heegaard was a professor of mathematics at Copenhagen University 1910 - 1917 and at Christiania (later Oslo) http://www.imada.sdu.dk/~hjm/heegaard.html

Poul Heegaard (1871 - 1948) a home page, created by Ellen S. and Hans J. Munkholm. Poul Heegaard was a professor of mathematics at Copenhagen University 1910 - 1917 and at Christiania (later Oslo) University 1918 - 1941. Today he is best known for his contributions to the study of three-manifolds; in fact Heegaard splittings and Heegaard diagrams are household words in that area, unfortunately often with the name misspelled as Heegard or even Hegard. In addition, many topologists will know that Heegaard gave a counter example to 's first formulation of his duality theorem, and that Heegaard and Dehn 's article Analysis Situs (1907, in the Enz. der Math. Wissenschaften) marks the foundation of combinatorial topology En biografisk artikel, Poul Heegaard (1871 - 1948), dansk - norsk topolog , af Ellen S. Munkholm og Hans J. Munkholm, findes her A biographical article, Poul Heegaard, by Ellen S. Munkholm and Hans J. Munkholm appears in a volume on the history of topology , edited by Professor Ioan James for Elsevier. The .html file of a preprint (with links to most of the illustrations) is available. So is the

2. Heegaard Poul Heegaard. After his 1893 M.Sc. degree from Copenhagen University,Poul Heegaard had received a stipend for a year s study abroad. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Heegaard.html

Poul Heegaard Born: 2 Nov 1871 in Copenhagen, Denmark Died: 7 Feb 1948 in Oslo, Norway Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Poul Heegaard 's name occurs frequently (quite often misspelled as Heegard or even Hegard) in the area of three- manifolds where 'Heegaard decompositions' and the associated 'Heegaard diagrams' remain important tools 100 years after they first occurred in Heegaard's 1898 Copenhagen University dissertation. Even though the dissertation is in Danish, it quickly became internationally well known, mainly because it also contains a counter-example to the version of duality published by shortly before. This counter-example sent back to the drawing board and thereby contributed to a clarification of some basic notions of algebraic topology Another important Heegaard contribution is his 1907 survey article (with Max Dehn Analysis Situs where the authors set forth the foundations of combinatorial topology . This enables them to give the first rigorous proof of the classification of compact surfaces. After his 1893 M.Sc. degree from Copenhagen University, Poul Heegaard had received a stipend for a year's study abroad. He first went to Paris and it has often been assumed that his interest in

3. Poul Heegaard Poul Heegaard this article we speculated that the turbulence about his position during the Second World War might have made the author a bitter and depressed man. However, except for short remarks http://rdre1.inktomi.com/click?u=http://citeseer.ist.psu.edu/138538.html&y=0

4. Onetree Genealogy Heegaard Olavia Heegaard (13 AUG 1852 - ); heegaard poul Anker Heegaard (12 MAR 1870 - 24 JUL 1958); Heegaard Rita http://www.one-tree.dk/onetree38.html

Welcome to / Velkommen til: OneTree Genealogy Please read / Læs venligst: Safe Harbor Statement ... The Master Index - Hovedindex Search on - Søg på: Index View information for the following individuals - Vis informationer for følgende personer: Hauch : Jørgen Hauch Hauch : Ludvig Alfred von Hauch Hauch : Ludvig Carsten von Hauch (25 FEB 1800 - 4 DEC 1854) Hauch : Margrethe Sophie von Hauch Hauch : Marie Elisabeth Hauch Hauch : Marie von Hauch (20 JUN 1878 - ) Hauch : Michael Erik von Hauch (13 NOV 1971 - ) Hauch : N C R Hauch Hauch : Nanna Christine von Hauch (12 SEP 1964 - ) Hauch : Olaf Rye Hauch Hauch : Ottilie Margrethe von Hauch Hauch : Ovine Hauch Hauch : Ovine Marie Frederikke Hauch (13 JUN 1834 - ) Hauch : Peter Tetens Hauch Hauch : Simon Carsten von Hauch (27 DEC 1969 - ) Hauch : Viggo Hauch Hauch : Vilhelmine "Willy" von Hauch (12 JAN 1874 - 1963) Hauch : Wilhelm Christian Holger von Hauch Hauch : William Frederik von Hauch Hauen : Ian Mac van Hauen (6 APR 1932 - 6 FEB 2003) Hauen : Leo Mac van Hauen Hauen : Suzette van Hauen (7 AUG 1941 - ) Hauen : Uggi Mac van Hauen Hauer : Kaj Gregers Hauer (22 JUN 1894 - ) Hauerback : Kirstine Cecilie Hauerback Hauerberg : Maria Hauerberg Haugaard : Ane Kirstine Haugaard Haugaard : Jytte Solveig Haugaard (18 NOV 1944 - ) Hauge : Andreas Hauge Hauge : Eigil Hauge (24 SEP 1952 - ) Hauge : Gulhild Hauge (25 AUG 1946 - ) Hauge : Hans Aagaard Hauge (14 JUN 1907 - 24 JAN 1988) Hauge : Hans Nielsen Hauge Hauge : Louise Hauge (28 DEC 1979 - ) Hauge : Nina Louise Alvilda Hauge Hauge : Ragnhild Hauge (27 NOV 1950 - )

5. Poul Heegaard (1871 - 1948), Dansk - Norsk Topolog. Biografisk artikel om den dansknorske topologs liv og arbejde. http://www.imada.sdu.dk/~hjm/heegaard.dansk/

Next: Contents Poul Heegaard (1871 - 1948), dansk - norsk topolog. Ellen S. Munkholm og Hans J. Munkholm. Contents Indledning. Barndommen. Universitetsstudier (1889 - 1893). ... About this document ... Hans J. Munkholm Sun May 24 15:01:12 MEST 1998

6. Poul E. Heegaards Homepage At Dept. Of Telematics, NTNU SINTEF Telecom and Informatics personal homepage Publications, Selected Presentations and Working Papers. poul E. heegaard and Brynjar Å Bjørn Netland, Irena Grgic, Harald Pettersen, poul heegaard. Handling QoS in Full Service http://www.item.ntnu.no/~poulh

7. The Theseus Homepage Of Poul Heegaard Source material from "Copenhagen Science" poul heegaard. 18711948 Curriculum vitae of poul heegaard. 1871 poul heegaard is born in Copenhagen http://www.math.ku.dk/ths/heegaard_p

8. Biography-center - Letter H ac.uk/~history/Mathematicians/Hedrick. html. heegaard, poul. wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/heegaard.html. Heeger, Alan J http://www.biography-center.com/h.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish H 745 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Herigone.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/De_L'Hopital.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Holder.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Hormander.html Haab, Otto www.whonamedit.com/doctor.cfm/1825.html Haanpää, Pentti www.kirjasto.sci.fi/haanpaa.htm www-history.mcs.st-and.ac.uk/~history/Mathematicians/Haar.html Haarlem, Cornelis van www.kfki.hu/~arthp/bio/c/cornelis/biograph.html Haas, Dolly www.cyranos.ch/emigra-e.htm#haas Haavelmo, Trygve www.nobel.se/economics/laureates/1989/haavelmo-bio.html Haavikko, Paavo www.kirjasto.sci.fi/haavikko.htm Haber, Fritz www.nobel.se/chemistry/laureates/1918/haber-bio.html Habib ibn Zayd al-Ansari,

9. References For Heegaard References for poul heegaard. I Johansson, Minnetale over poul heegaard (obituary),Det norske Videnskabsakademi i Oslo, Arbok 1948, 38 47. http://www-gap.dcs.st-and.ac.uk/~history/References/Heegaard.html

References for Poul Heegaard Articles: P Heegaard, Sma livserindringer fortalt for mine barn og barnebarn, handwritten autobiographical notes in Norwegian, dated Farvang, February 2, 1945, pp. 1 - 136 with several lacunae and inserts. I Johansson, Minnetale over Poul Heegaard (obituary), Det norske Videnskabsakademi i Oslo , Arbok 1948, 38 - 47. E S Munkholm and H J Munkholm, Poul Heegaard, I M James (ed.), History of Algebraic Topology (Amsterdam, The Netherlands, 1997), to appear. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR September 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Heegaard.html

10. Poul Heegaard (ResearchIndex) poul heegaard (1997) Rese Hjelle, who spent most of her childhood and youth in poul heegaard's house, contradicted our speculations http://citeseer.nj.nec.com/munkholm97poul.html

Poul Heegaard (1997) (Make Corrections) Ellen S. Munkholm, Hans J. Munkholm Home/Search Context Related View or download: imada.ou.dk/pub/papers/pp19 39.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: fermivista.math ftp.imada.ou.dk (more) (Enter author homepages) Rate this article: (best) Comment on this article (Enter summary) Abstract: this article we speculated that the turbulence about his position during the Second World War might have made the author a bitter and depressed man. However, except for short remarks in a couple of letters, we had no real evidence. Also, an interview with the granddaughter Rese Hjelle, who spent most of her childhood and youth in Poul Heegaard's house, contradicted our speculations. In fact, Rese Hjelle recalls her grandfather "Bobo" as a very happy and entertaining old man who would spend a... (Update) Active bibliography (related documents): More All Knot theory from Vandermonde to Jones - Przytycki (Correct) ... (Correct) Similar documents based on text: More All Genus Two Heegaard Splittings Of Orientable Three-Manifolds - Rubinstein, Scharlemann (1997) (Correct) ... (Correct) BibTeX entry: (Update) Citations (may not include all citations): Forstudier til en topologisk Teori for de algebraiske Flader.. (context)

11. Poul.Heegaard Otto Wittner, poul E. heegaard, Bjarne E. Helvik. 2001, In COST report 257. MetteRøhne, Bjørn Netland, Irena Grgic, Harald Pettersen, poul heegaard. http://www.item.ntnu.no/~poulh/poulh-body.html

Research Background Thesis Publications GenSyn More information about GenSyn - a Java based traffic generator for synthetic IP traffic, click here Research interests My research interests is within the areas of traffic and reliability evaluation of telecommunication systems. Special interests in speedup simulation techniques for assessments of systems containing rare events, and monitoring and measurements of IP networks. For details of my professional background, see my curriculum vitae Background Education 1989 Siv.ing. (MSc), Telematics, The Norwegian Institute of Technology, NTH. 1998 Dr.ing. (PhD), Telematics, NTNU. Experience 1988-1989 Teaching assistant at Division of Computer Systems and Telematics, NTH. 1989-1999 Research Scientist at SINTEF Telecom and Informatics. 1994-1998 Research Scholar at Department of Telematics NTNU. 1999-1999 Senior Research Scientist at SINTEF Telecom and Informatics. 1999-2003 Adjunct Associate Professor at Department of Telematics NTNU. 1999-2001 Research Scientist at Telenor Research and Development 2001- Senior Research Scientist at Telenor Research and Development 2003- Associate Professor at Department of Telematics NTNU.

12. MB Staff, Poul Christian Heegaard Valid HTML? poul Christian heegaard. edbmedarbejder, ingeniør, Tel +458942 2690. Fax Email pch@mb.au.dk. Personal Homepage Group Homepage http://130.225.13.7/staff/staffmem/pch@mb.au.dk.html

13. MB Staff, Technical And Administrative Staff 8942 2690, heegaard, poul Christian, edbmedarbejder, ingeniør (130-318) pch@mb.au.dk.8942 5075, Heilesen, Lisbeth, cand.ling.merc. (FB02-201) lh@mb.au.dk. http://130.225.13.7/staff/staffmem/TAP.html

14. Heegaard Biography of poul heegaard (18711948) poul heegaard. Born 2 Nov 1871 in Copenhagen, Denmark poul heegaard's name occurs frequently (quite often misspelled as Heegard or even Hegard) in the http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Heegaard.html

Poul Heegaard Born: 2 Nov 1871 in Copenhagen, Denmark Died: 7 Feb 1948 in Oslo, Norway Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Poul Heegaard 's name occurs frequently (quite often misspelled as Heegard or even Hegard) in the area of three- manifolds where 'Heegaard decompositions' and the associated 'Heegaard diagrams' remain important tools 100 years after they first occurred in Heegaard's 1898 Copenhagen University dissertation. Even though the dissertation is in Danish, it quickly became internationally well known, mainly because it also contains a counter-example to the version of duality published by shortly before. This counter-example sent back to the drawing board and thereby contributed to a clarification of some basic notions of algebraic topology Another important Heegaard contribution is his 1907 survey article (with Max Dehn Analysis Situs where the authors set forth the foundations of combinatorial topology . This enables them to give the first rigorous proof of the classification of compact surfaces. After his 1893 M.Sc. degree from Copenhagen University, Poul Heegaard had received a stipend for a year's study abroad. He first went to Paris and it has often been assumed that his interest in

15. Poul Heegaard Papirer poul heegaard papirer. poul heegaard Trondhjems Domkirke og GotikkensGeometriske System. Særtryk fra Architekten 19 (1917), pp. 112. http://www.math.ku.dk/arkivet/heegaard/heearkiv.htm

ARKIVET INSTITUT FOR MATEMATISKE FAG KØBENHAVNS UNIVERSITET Arkivets hjemmeside Samlingsoversigt Poul Heegaard papirer Overordnet beskrivelse af samlingen Kort biografi Beskrivelse af samlingens indhold Overordnet beskrivelse af samlingen Kort beskrivelse: Denne samling af Heegaard papirer består næsten udelukkende af fotokopier elektroniske kopier og afskrifter af originale manuskripter. Der er dog et enkelt særtryk. Materialet er fra 1917-45 og enten på norsk eller dansk. Omfang: 1 arkivæske samt en samling DVI-filer. Overdragelse: De originale arkivalier er i privateje hos efterkommere af Heegaard. Det er nærmere angivet for hver enkelt i den detaljerede registrant, hvor originalen er lokaliseret. Opsporingen af originalerne og overdragelse af kopierne til arkivet blev tilvejebragt af Hans J. Munkholm , Institut for Matematik og Datalogi, Odense Universitet i 1997. De kom arkivet i hænde i september 1997 med Heegaards efterkommeres samtykke. Klausuler: Ingen. Publikationsrettigheden tilhører efterkommerne, men de manuskripter, der er gjort tilgængelige på internettet kan der frit citeres fra. Registrant: Udarbejdet af Kurt Ramskov, den 1. april 1998. En mere detaljeret registrant er udarbejdet, både i

16. Poul Heegaard's Autobiographical Notes. poul heegaard's autobiographical notes. Figure 2. The first half page of heegaard's Autobiographical Note Trondheim University, Norway, and a great grandson of poul heegaard. He gave us the very http://www.imada.sdu.dk/~hjm/heegaard3.stor/node2.html

Next: The early years (1871 Up: Poul Heegaard Previous: Contents Poul Heegaard's autobiographical notes. Figure 2. The first half page of Heegaard's Autobiographical Note When we started our investigation of Heegaard's life and career, it was easy enough to locate his mathematical publications, but we found only very few accounts of his life in general. In particular, we could locate only one obituary. We then searched the Internet for persons carrying the name Heegaard. This led us to contact a number of e-mail addresses in Norway, Denmark, USA, Sweden and Switzerland. A few of the persons we reached this way knew that they were related to ``our'' Heegaard. Among those was Poul E. Heegaard, a Ph.D. student of computer science at Trondheim University, Norway, and a great grandson of Poul Heegaard. He gave us the very welcome news that Poul Heegaard had actually left roughly 130 pages of handwritten autobiographical notes, [ ], and he generously supplied us with a copy. Figure 2. The first page of Heegaards autobiographical notes, [ The notes were written in 1945 (in Norwegian) when Heegaard was 73 years old and they were meant as a family history told to his children and grandchildren, but they do contain a lot of information that is relevant for our study. Unfortunately, a few pages are missing precisely at two critical points in Heegaard's life. Nevertheless, the notes supply much more information about Heegaard's life than any other single source we have found, and we have chosen to use them as a skeleton for the following account. Our rather extensive quotes from this source have been indented in a LaTeX ``quote'' environment, as in this example which refers to the semester Heegaard spent in Paris in 1893.

17. DMF Preprint Server poul heegaard. Ellen S. Munkholm. Hans J. Munkholm. DMF preprint DMF1997-10-002.IMADA preprint PP-1997-39. Submission date 1997-10-21. http://bib.mathematics.dk/preprint.php?lang=en&id=IMADA-PP-1997-39

18. DMF Preprint Server poul heegaard. Ellen S. Munkholm. Hans J. Munkholm. DMF preprint DMF1997-10-002.IMADA preprint PP-1997-39. Indsendelses dato 1997-10-21. http://bib.mathematics.dk/preprint.php?lang=da&id=IMADA-PP-1997-39

19. Bestyrelsesmedlemmer Hos IDA Østjylland Til stede Finn BroerHansen, Ib Carslund, poul heegaard, poul Freddie Klindrup,Jørn Runge Kristoffersen, Steen Ogstrup, Erik Gregersen, Jørgen A. Johansen http://www.ida.dk/regioner/oestjysk/selskaber/bestyrelse/ojrh_ref120104.htm

IDA Østjylland - referat Referat af møde i Ingeniørhuset i Århus torsdag den 12. januar 2004 Til stede: Finn Broer-Hansen, Ib Carslund, Poul Heegaard, Poul Freddie Klindrup, Jørn Runge Kristoffersen, Steen Ogstrup, Erik Gregersen, Jørgen A. Johansen (ref.) Fraværende: Viki Simonsen Dagsorden: 1 Godkendelse af dagsorden 2 Referat af forrige bestyrelsesmøder 3 Meddelelser fra formanden 4 Generalforsamling 15. marts 2004 5 Forslag fra HB om ”Etisk regelsæt for bestyrelsesarbejde” 6 IDAvisen i Ingeniøren 7 Arrangementer 8 Mini-IDA Østjylland, fællesmøde 22. 1, handlingsplan og regionsseminar 2004 9 Økonomi 10 Gensidig orientering 11 Arbejdet i udvalg, afdelinger mv. 12 Orientering fra AC-Referencegruppen 13 IDA-ØR, kommunikation til omverdenen 14 Eventuelt 1 Dagsorden Den udsendte dagsorden blev godkendt. 2 Referat fra forrige bestyrelsesmøder 20. november 2003: Referatet godkendt.

20. Bestyrelsesmedlemmer Hos IDA Østjylland Til stede Finn BroerHansen, Ib Carslund, poul heegaard, poul Freddie Klindrup,Viki Simonsen, Steen Ogstrup, Erik Gregersen, Jørgen A. Johansen (ref.). http://www.ida.dk/regioner/oestjysk/selskaber/bestyrelse/ojrh_ref2011.htm

IDA Østjylland - referat Referat af møde i Ingeniørhuset i Århus torsdag den 20. november 2003 Til stede: Finn Broer-Hansen, Ib Carslund, Poul Heegaard, Poul Freddie Klindrup, Viki Simonsen, Steen Ogstrup, Erik Gregersen, Jørgen A. Johansen (ref.) Fraværende: Jørn Runge Kristoffersen Dagsorden: 1 Godkendelse af dagsorden 2 Referat af bestyrelsesmøde den 20. oktober 3 Meddelelser fra formanden 4 KURA´s rolle i IDA 5 Forslag om begrænsning af informationsmængden (spam) 6 Arrangementer 7 Mini-IDA Østjylland, handlingsplan og regionsseminar 8 Økonomi 9 Gensidig orientering 10 Arbejdet i udvalg, afdelinger mv. 11 Orientering fra AC-Referencegruppen 12 Eventuelt 1 Dagsorden Det blev aftalt at medtage et punkt (11a) om IDA-ØR´s forhold til ”omverdenen” (det faldt dog ud pga. tidnød). 2 Referat fra bestyrelsesmøde den 20. oktober Enkelte punkter drøftedes. Ingen indvendinger imod referatet.

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