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＜E-Book＞
Simplicial Structures in Topology / by Davide L. Ferrario, Renzo A. Piccinini
(CMS Books in Mathematics, Ouvrages de mathématiques de la SMC. ISSN:21974152)

Edition	1st ed. 2011.
Publisher	(New York, NY : Springer New York : Imprint: Springer)
Year	2011
Language	English
Size	XVI, 243 p : online resource
Authors	*Ferrario, Davide L author Piccinini, Renzo A author SpringerLink (Online service)
Subjects	LCSH:Manifolds (Mathematics) LCSH:Algebraic topology LCSH:Topology FREE:Manifolds and Cell Complexes FREE:Algebraic Topology FREE:Topology
Notes	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 HTTP:URL=https://doi.org/10.1007/978-1-4419-7236-1

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