Geometric Topology

Geometric Topology

1st Edition - January 1, 1979

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  • Editor: James C. Cantrell
  • eBook ISBN: 9781483271316

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Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.

Table of Contents

  • Contributors


    Part I Low Dimensional Manifolds

    A Decomposition of S3 with a Null Sequence of Cellular Arcs

    Special Representations for 3-Manifolds

    Shrinking Countable Decompositions of E3 into Points and Tame Cells

    Local Spanning Missing Loops

    A Problem of Rushing

    An Additive Index Theorem for Certain Wildly Embedded Arcs and Curves

    Seifert Fibered Spaces in 3-Manifolds

    On Exotic Homotopy Equivalences of 3-Manifolds

    Eight Faces of the Poincare Homology 3-Sphere

    Decomposing Analytic Surfaces

    Heegaard Diagrams for Closed 4-Manifolds

    Decompositions of E3 with Countably Many Non-Degenerate Elements

    Decompositions of E3 into Cellular Sets

    Part II Topology of Manifolds

    The Structure of Generalized Manifolds Having Nonmanifold Set of Trivial Dimension

    Embeddings and Immersions of Four Dimensional Manifolds in R6

    General Position Maps for Topological Manifolds

    The Equivariant Surgery Problem for Involutions

    The Degree of a Branched Covering of a Sphere

    A Universal 5-Manifold with Respect to Simplicial Triangulations

    On πi DIFF Mn

    Construction of Surgery Problems

    Wild Embeddings of Piecewise Linear Manifolds in Codimension Two

    Foliations and Monoids of Embeddings

    On the Topology of Nonisolated Singularities

    Approximating CAT CE Maps by CAT Homeomorphisms

    On Complexes That Are Lipschitz Manifolds

    Isometries of Inner Product Spaces and Their Geometric Applications

    Hyperbolic Geometry and Homeomorphisms

    K2 and Diffeomorphisms of Two and Three Dimensional Manifolds

    Part III Shape Theory And Infinite Dimensional Topology

    Concordances of Hilbert Cube Manifolds and Tubular Neighborhoods of Finite-Dimensional Manifolds

    Universal Open Principal Fibrations

    Compacta with the Homotopy Type of Finite Complexes

    Manifolds Modeled on the Direct Limit of Hilbert Cubes

    Concordance Classes of Free Actions of Compact Lie Groups on Infinite Dimensional Manifolds

    Cell-Like Maps, Approximate Fibrations and Shape Fibrations

    A Weak Flattening Criterion for Compacta in 4-Space

    Based-Free Actions of Finite Groups on Hilbert Cubes with Absolute Retract Orbit Spaces are Conjugate

    Part IV Miscellaneous Problems

    How to Build a Flexible Polyhedral Surface

    A Short List of Problems

    Some Borsuk-Ulam Type Theorems

Product details

  • No. of pages: 712
  • Language: English
  • Copyright: © Academic Press 1979
  • Published: January 1, 1979
  • Imprint: Academic Press
  • eBook ISBN: 9781483271316

About the Editor

James C. Cantrell

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