Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach

Counterexamples in Topology Lynn Arthur Steen, J. Arthur Seebach ebook
ISBN: 0030794854, 9780030794858
Format: djvu
Page: 222
Publisher: Dover Publications

Wikipedia has a [.gif] to demonstrate this. Includes many examples and figures. This introduction to topology provides separate, in-depth protection of each basic topology and algebraic topology. Although topology is usually motivated as a study of spatial structures, you can interpret topological spaces as being a particular type of logic, and give a purely logical, non-spatial interpretation to a number of bits of topology. I am looking for a non-continuous function f:X-->Y where X,Y are non-countable spaces, but where lim n-->∞ xn = x. 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. There is a joke that topologists are those who cannot distinguish between a doughnut and a coffee or tea cup. You may have studied Singer I.M. Topology Notes (FREE!) Thurston W.P. Someone I know has a database of topological spaces, mostly extracted from the book "Counterexamples in Topology". A counterexample is given by the topology of finite complements. Topology (2nd Edition) by James Munkres (Author). Yes, sequentially compactness has nothing to do with compactness in general topological spaces. Counterexamples in Topology; Strickland N. Introductory Topology: Topology is an extension of geometry and built on set theory, it's about continuity. Lecture Notes on Elementary Topology and Geometry; Steen L.A.