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Counterexamples in Topology Lynn Arthur Steen, J. Arthur Seebach
Publisher: Dover Publications

Steenrod.djvu http://www.megaupload.com/?d=T693WNKV Counterexamples in Topology-L. The Hawaiian earring space is a famous counterexample in topology which shows the need for care in hypotheses to develop a good theory of covering spaces. Title: Counterexamples in topology. These are interesting examples often presented in beginning courses in topology. Http://www.megaupload.com/?d=5KG9J1H4 First concepts of topology - W. Counterexamples in Topology Lynn Arthur Steen | Holt,Rinehart & Winston of Canada Ltd | November, 3991 | 361 pages | English | djvu. There's even a book (which might have this answer) called Counterexamples in Topology. A counterexample is given by the topology of finite complements. Does it mean a morphism which is a surjection of sheaves in the fpqc topology? The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Both spaces are rich ground for counterexamples. This was a classical example of her famous ability to construct examples and counter-examples. Yes, sequentially compactness has nothing to do with compactness in general topological spaces. The diffeomorphism probably extends, since if it doesn't you get a counterexample to the smooth Poincare conjecture in dimension 4, so either way you should be happy. In that case you get counter examples by looking at ind schemes (for example the functor of morphisms A^1 —> A^1). Author: N/A Language: Vietnamese Type: PDF Size: 205B Link: Download this book here. Point-set topology (like analysis) has a way of breaking when you give it edge cases. MATHEMATICS / Topology manifolds - Reference on Geometric Topology - Mathematics Stack. Someone I know has a database of topological spaces, mostly extracted from the book "Counterexamples in Topology".