Library of American University of Madaba
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Ferrario, Davide L.
Simplicial Structures in Topology [electronic resource] / by Davide L. Ferrario, Renzo A. Piccinini. - XVI, 243 p. online resource. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237 .
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.
9781441972361
Mathematics.
Topology.
Algebraic topology.
Cell aggregation--Mathematics.
Mathematics.
Manifolds and Cell Complexes (incl. Diff.Topology).
Algebraic Topology.
Topology.
QA613-613.8 QA613.6-613.66
514.34
Simplicial Structures in Topology [electronic resource] / by Davide L. Ferrario, Renzo A. Piccinini. - XVI, 243 p. online resource. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237 .
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.
9781441972361
Mathematics.
Topology.
Algebraic topology.
Cell aggregation--Mathematics.
Mathematics.
Manifolds and Cell Complexes (incl. Diff.Topology).
Algebraic Topology.
Topology.
QA613-613.8 QA613.6-613.66
514.34