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Simplicial Structures in Topology [electronic resource] / by Davide L. Ferrario, Renzo A. Piccinini.

By: Contributor(s): Material type: TextTextSeries: CMS Books in Mathematics, Ouvrages de mathématiques de la SMCPublisher: New York, NY : Springer New York : Imprint: Springer, 2011Description: XVI, 243 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781441972361
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 514.34 23
LOC classification:
  • QA613-613.8
  • QA613.6-613.66
Online resources:
Contents:
Preface -- Fundamental Concepts -- Simplicial Complexes -- Homology of Polyhedra -- Cohonology -- Triangulable Manifolds -- Homotopy Groups -- Bibliography -- Index.
In: Springer eBooksSummary: Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in a short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henri Poincaré (singular homology is not discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBook Available
Total holds: 0

Preface -- Fundamental Concepts -- Simplicial Complexes -- Homology of Polyhedra -- Cohonology -- Triangulable Manifolds -- Homotopy Groups -- Bibliography -- Index.

Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in a short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henri Poincaré (singular homology is not discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.

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