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Topology; a first course

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Prentice-Hall, 1974 - Mathematics - 413 pages

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92 pages matching munkres topology a first course in this book

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Contents

and Continuous Functions
75
Connectedness and Compactness
146
Countability and Separation Axioms
189
Copyright

5 other sections not shown

Common terms and phrases

algebra assert Baire space basis element belongs bijective box topology called choose closed sets closed subset closure collection compact Hausdorff space compact space compactification completely regular Consider continuous functions continuous map Corollary countable basis covering map covering space define definition denote the set dictionary order disjoint open sets equals equation equicontinuous equivalence classes equivalence relation Example Exercise exists fact function g fundamental group given Hausdorff space Hint homeomorphic homotopy imbedding induced infinite injective intersection interval isomorphism least upper bound locally compact locally finite loop n e Z+ neighborhood normal space one-point sets open covering open sets order relation order topology ordered set paracompact path homotopy plane point x0 positive integers product topology proof properties quotient map rational numbers real line real numbers retract satisfies sequence Show simply connected simply ordered smallest element subspace topology Suppose surjective topological space uncountable union well-ordered set

Bibliographic information

QR code for Topology; a first course
TitleTopology; a first course
AuthorJames R. Munkres
Editionillustrated
PublisherPrentice-Hall, 1974
Original fromthe University of Michigan
Digitized4 Sep 2010
ISBN0139254951, 9780139254956
Length413 pages
Subjects › 

Mathematics / General
Mathematics / Topology
Topological spaces
Topology
  
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