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Simplicial structures in topology

Author: Davide L Ferrario; Renzo A Piccinini
Publisher: New York : Springer, ©2011.
Series: CMS books in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Davide L Ferrario; Renzo A Piccinini
ISBN: 9781441972361 1441972366 9781441972354 1441972358
OCLC Number: 682907533
Notes: Originally published as "Strutture simpliciali in topologia" in 2009.
Description: 1 online resource (xvi, 243 p.) : ill.
Contents: Fundamental concepts --
The category of simplicial complexes --
Homology of polyhedra --
Cohomology --
Triangulable manifolds --
Homotopy Groups.
Series Title: CMS books in mathematics.
Other Titles: Strutture simpliciali in topologia.
Responsibility: Davide L. Ferrario, Renzo A. Piccinini.

Abstract:

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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