Characterizing k-dimensional universal Menger compacta

Characterizing k-dimensional universal Menger compacta

by Bestvina, Mladen

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Title Statements

  • Full title :Characterizing k-dimensional universal Menger compacta / Mladen Bestvina.

Edition Statements

  • Publication Date:©1988

Publication Statements

Notes

"January 1988, volume 71, number 380 (second of 5 numbers)."

The Physical Object

  • Description:1 online resource (121 pages)

Edition Identifiers

  • ISBN:9781470408008, 1470408007
  • oclc:on1097097263
  • LC Classification:QA611.28
  • Dewey Decimal:514/.3

Table of Contents

""TABLE OF CONTENTS""; ""INTRODUCTION""; ""DEFINITIONS AND NOTATION""; ""1. PARTITIONS""; ""1.1. Partitions on Compact PL-Manifolds (With Boundary)""; ""1.2. The Standard Construction of the Universal k-Dimensional Menger Space Î?[sup(k)] and Î?[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of Î?[sup(k)]""; ""2. BASIC MOVES""; ""2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps""; ""2.2. The Isotopy Move and Verification of Axiom 1""; ""2.3. Absorbing Maps and Basic Properties of Î?[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps""

""2.5. Connecting Intersections""""2.6. Correct Ordering""; ""2.7. Increasing the Connectivity of Partition Elements""; ""2.8 Some Easy Consequences""; ""3. THE Z-SET UNKNOTTING THEOREM""; ""3.1. The Z-set Unknotting Theorem""; ""3.2. Homogeneity of Î?[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The Ï?-Z-set Shrinking Theorem""; ""4.3. The Main Shrinking Theorem""; ""5. THE CHARACTERIZATION THEOREM""; ""5.1. The Resolution Theorem""; ""5.2. The Characterization Theorem""; ""6. NONCOMPACT MENGER MANIFOLDS""; ""APPENDIX""

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Subjects

Espaces métriques Manifolds (Mathematics) Metric spaces Variétés (Mathématiques)

Writers

Bestvina, Mladen

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