Simplicial Structures in Topology

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Simplicial Structures in Topology by Davide L. Ferrario, Renzo A. Piccinini, Springer New York
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Author: Davide L. Ferrario, Renzo A. Piccinini ISBN: 9781441972361
Publisher: Springer New York Publication: September 30, 2010
Imprint: Springer Language: English
Author: Davide L. Ferrario, Renzo A. Piccinini
ISBN: 9781441972361
Publisher: Springer New York
Publication: September 30, 2010
Imprint: Springer
Language: English

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 short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincaré (singular homology is 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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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 short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincaré (singular homology is 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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