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 GN General Topology (Front for the Mathematics ArXiv) - Univ. of California, Davis General Topology preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>> Investigating Patterns: R-U-B-B-E-R Geometry (Topology) - Jill Britton Selected web pages for educators, each leading to recreation-oriented learning experiences for middle school students. Topics include: Topology / Anamorphic Art; Jordan Curves / Mazes / Networks / Map Coloring; Math-e-Magic / Mobius Strip; Flexagons.  more>> The Topological Zoo - The Geometry Center For mathematicians and educators: a visual dictionary of surfaces and other mathematical objects, consisting primarily of movies, still images and interactive pictures. Can be used to complement classroom presentations, research papers and talks. Each object is accompanied by a short description that provides background information and interconnections among the objects in the zoo. Where appropriate, the equations that describe the objects are included. Primarily a reference, not an introduction to topology or other branches of mathematics. An ongoing project at the Geometry Center, the work of graduate students from the the University of Minnesota and undergraduates who participate in the Summer Institute at the Geometry Center. more>> Topology Atlas - Shakhmatov and Watson; York University, Toronto, Ontario, Canada A multi-purpose center for electronic distribution of information related to topology, the mathematical study of surfaces, sometimes called "rubber sheet geometry" because topologists consider geometric figures as though they were drawn on infinitely stretchable rubber sheets. Learn about upcoming conferences, obtain topology proceedings, read lecture notes, and participate in the Topology Q+A Board, which has forums entitled "Ask A Topologist," "Ask An Algebraic Topologist," "Ask An Algebraist," "Ask An Analyst," "Calculus," "Homework Help," and "Research In Topology." more>> Topology - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to general topology, the study of sets on which one has a notion of "closeness" - enough to decide which functions defined on it are continuous. Thus it is a kind of generalized geometry (we are still interested in spheres and cubes, for example, but we might consider them to be "the same", yet distinct from a bicycle tire, which has a "hole") or a kind of generalized analysis... More formally, a topological space is a set X on which we have a topology - a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Topology Enters Mathematics - MacTutor Math History Archives Linked essay describing the development of topology as a mathematical discipline from Euler through the early 20th century, including 17 references (books/articles). more>>
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