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Next: Modern Algebra (M.S. and Up: Topics and Syllabi for Previous: Advanced Calculus (M.S., Applied General Topology (M.S. and Ed.D.) Preparatory Course: Math 5303 The basic concepts: topological spaces, bases, subbases, open sets, closed sets, limit points, closure, interior, boundary, convergence, dense subsets, continuous functions, homeomorphisms, topological imbeddings. Various kinds of topologies: the discrete topology, the indiscrete topology, the metric topology, the order topology, the subspace topology, the product topology, the box topology, open maps, closed maps, quotient maps, and the quotient topology. Connectivity: connected and path-connected spaces, locally connected and locally path-connected spaces, components and path-components, connected subsets of the real line. Compactness: compact spaces, limit point, sequential, and countable compactness, local compactness, Tychonoff's Theorem. REFERENCE: James R. Munkres, Topology: A First Course , Chapters 1-4, 5.1 graddir

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55. Atlas: The 12th Summer Conference On General Topology And Its Applications - Lis The 12th Summer Conference on general topology and its Applications August 1216, 1997 Nipissing University North Bay, ON, Canada. http://atlas-conferences.com/c/a/a/o/01.htm

Atlas home Conferences Abstracts Travel ... about Atlas The 12th Summer Conference on General Topology and its Applications August 12-16, 1997 Nipissing University North Bay, ON, Canada Conference Organizers Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali and Stephen Watson Conference Homepage View Abstracts This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the dynamic list. A. Chigogidze Extension Properties in Compact Groups Bruce S. Burdick Bitopological Local Compactness and the Bitopological Fell Hyperspace David P. Bellamy Homogeneous Arcwise Connected Continua When is the bicompletion reflective with respect to a functorial quasi-uniformity? Ilijas Farah Continuous images of N M. Turzanski On The Bolzano-Weierstrass Method Mahmoud Filali On some semigroup compactifications Martin Hotzel Escardo Injective spaces and function spaces Todd Eisworth More on Countably Compact spaces and the Continuum Hypothesis Wayne Lewis Subchainable Hereditarily Indecomposable Continua Tamariz Mascarua Angel On p-pseudocompact spaces Paolo Baldan Partializing Stone Spaces using SFP domains Henno Brandsma Monolithicity of Hyperspaces Wlodzimierz J. Charatonik

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