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Foundations of Combinatorial Topology
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Foundations of Combinatorial Topology Paperback - 2015

by L. S. Pontryagin

From the publisher

Hailed by The Mathematical Gazette as "an extremely valuable addition to the literature of algebraic topology," this concise but rigorous introductory treatment focuses on applications to dimension theory and fixed-point theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and elegant manner.
In addition to its value as a one-semester text for graduate-level courses, this volume can also be used as a reference in preparing for seminars or examinations and as a source of basic information on combinatorial topology. Although considerable mathematical maturity is required of readers, formal prerequisites are merely a few simple facts about functions of a real variable, matrices, and commutative groups.

Details

  • Title Foundations of Combinatorial Topology
  • Author L. S. Pontryagin
  • Binding Paperback
  • Edition Reprint
  • Pages 112
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, New York, U.S.A.
  • Date 2015-05
  • ISBN 9780486406855 / 0486406857
  • Weight 0.27 lbs (0.12 kg)
  • Dimensions 8.44 x 5.37 x 0.25 in (21.44 x 13.64 x 0.64 cm)
  • Library of Congress subjects Combinatorial topology
  • Library of Congress Catalog Number 98043890
  • Dewey Decimal Code 514.22

About the author

L. S. Pontryagin (1908-88) was a prominent Soviet mathematician who made important contributions to many fields, including topology and differential topology.

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