Introduction to General Topology |
Contents
Logical Warmup | 1 |
Preliminaries | 39 |
Motivation for Topology | 61 |
Copyright | |
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argument axioms B₁ base bijection bounded called Cauchy sequence Chapter characterisation closed sets closed subset closure cluster point compact space compactification complete metric completely regular concept construction continuous function converges Corollary defined definition denoted dense discrete space element embedding equivalence relation euclidean spaces example exists filter finite intersections follows function f functor given Guide to Literature Hausdorff space hence Hint homeomorphic implies index set indexed family integers lemma Let f Lindelöff locally compact locally connected mathematics metric space morphism neighbourhood non-empty Notes and Guide objects open cover open set open subset paracompact partially ordered product topology proof Proposition Prove pseudometric quotient space reader real line real numbers result second countable statement sub-base subspace T₁ T4 space theorem tion topological group topological product topological space Tychonoff space uniform space unique unit interval usual topology X₁