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Geometric Topology in Dimensions 2 and 3

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Cover of 'Geometric Topology in Dimensions 2 and 3'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Connectivity
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    Chapter 3 Separation properties of polygons in R 2
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    Chapter 4 The Schönflies theorem for polygons in R 2
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    Chapter 5 The Jordan curve theorem
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    Chapter 6 Piecewise linear homeomorphisms
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    Chapter 7 PL approximations of homeomorphisms
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    Chapter 8 Abstract complexes and PL complexes
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    Chapter 9 The triangulation theorem for 2-manifolds
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    Chapter 10 The Schönflies theorem
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    Chapter 11 Tame imbedding in R 2
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    Chapter 12 Isotopies
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    Chapter 13 Homeomorphisms between Cantor sets
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    Chapter 14 Totally disconnected compact sets in R 2
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    Chapter 15 The fundamental group (summary)
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    Chapter 16 The group of (the complement of) a link
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    Chapter 17 Computations of fundamental groups
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    Chapter 18 The PL Schönflies theorem in R 3
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    Chapter 19 The Antoine set
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    Chapter 20 A wild arc with a simply connected complement
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    Chapter 21 A wild 2-sphere with a simply connected complement
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    Chapter 22 The Euler characteristic
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    Chapter 23 The classification of compact connected 2-manifolds
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    Chapter 24 Triangulated 3-manifolds
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    Chapter 25 Covering spaces
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    Chapter 26 The Stallings proof of the loop theorem of Papakyriakopoulos
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    Chapter 27 Bicollar neighborhoods; an extension of the Loop theorem
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    Chapter 28 The Dehn lemma
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    Chapter 29 Polygons in the boundary of a combinatorial solid torus
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    Chapter 30 Limits on the Loop theorem: Stallings’s example
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    Chapter 31 Polyhedral interpolation theorems
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    Chapter 32 Canonical configurations
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    Chapter 33 Handle decompositions of tubes
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    Chapter 34 PLH approximations of homeomorphisms, for regular neighborhoods of linear graphs in R 3
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    Chapter 35 PLH approximations of homeomorphisms, for polyhedral 3-cells
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    Chapter 36 The Triangulation theorem
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    Chapter 37 The Hauptvermutung; Tame imbedding
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Title
Geometric Topology in Dimensions 2 and 3
Published by
Springer-Verlag New York, January 1977
DOI 10.1007/978-1-4612-9906-6
ISBNs
978-1-4612-9908-0, 978-1-4612-9906-6
Authors

Moise, Edwin E., Edwin E. Moise, E.E. Moise

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 38 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Italy 1 3%
Luxembourg 1 3%
United States 1 3%
Unknown 35 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 12 32%
Researcher 11 29%
Professor 4 11%
Student > Master 3 8%
Professor > Associate Professor 3 8%
Other 5 13%
Readers by discipline Count As %
Mathematics 22 58%
Computer Science 5 13%
Engineering 3 8%
Unspecified 2 5%
Physics and Astronomy 2 5%
Other 4 11%