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Classical Tessellations and Three-Manifolds

  • Book
  • © 1987

Overview

Authors:
  1. José María Montesinos-Amilibia

    1. Facultad de Matemáticas, Universidad Complutense, Madrid, Spain

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  • Richly illustrated with 29 colour plates and over 200 line drawings
  • Deals with euclidean,spherical and hyperbolic tessellations
  • An unorthodox book, without explicit statements of theorems, but with geometrical descriptions and diagrams
  • Includes an appendix on orbifolds

Part of the book series: Universitext (UTX)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XVII
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  2. S1-Bundles Over Surfaces

    • José María Montesinos-Amilibia
    Pages 1-44

  3. Manifolds of Tessellations on the Euclidean Plane

    • José María Montesinos-Amilibia
    Pages 45-97

  4. Manifolds of Spherical Tessellations

    • José María Montesinos-Amilibia
    Pages 98-134

  5. Seifert Manifolds

    • José María Montesinos-Amilibia
    Pages 135-172

  6. Manifolds of Hyperbolic Tessellations

    • José María Montesinos-Amilibia
    Pages 173-184

  7. Errata

    • José María Montesinos-Amilibia
    Pages 235-235

  8. Back Matter

    Pages 185-232
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Keywords

About this book

This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds. In his original and entertaining style, the author provides graduate students with a source of geometrical insight into low-dimensional topology. Researchers in this field will find here an account of a theory that is on the one hand known to them but here is "clothed in a different garb" and can be used as a source for seminars on low-dimensional topology, or for preparing independent study projects for students, or again as the basis of a reading course. 

Authors and Affiliations

  • Facultad de Matemáticas, Universidad Complutense, Madrid, Spain

    José María Montesinos-Amilibia

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