Overview

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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9781441972354

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Reviews

From the reviews: The book under review is a modern and enlightened exposition of those finite combinatorial structures and of the simplicial algebraic topology ... . Ferrario (Univ. di Milano-Bicocca, Italy) and Piccinini (Dalhousie Univ., Canada) aim to develop the simplicial homology and cohomology of finite simplicial complexes, and of their geometric realizations ... with an eye to reaching the classification theory for compact 2-mainfolds. ... The foreword, preface, exercises, references, and index all add value to the book. Summing Up: Recommended. Academic audiences; upper-division undergraduates and above. (F. E. J. Linton, Choice, Vol. 48 (11), August, 2011) This book is about the topology of finite simplicial structures ... . The book is generally well-written ... . One of the main strengths of the book lies in plenty of motivating discussion and explanation, with good use of examples. There are plenty of exercises at the ends of most chapter sections. In summary, this is good text for advanced undergraduate students and beginning graduate students in topology. It is potentially useful as a source of project topics for undergraduate students. (Sarah Whitehouse, CMS Notes, Vol. 43 (5), October-November, 2011)

From the reviews: The book under review is a modern and enlightened exposition of those finite combinatorial structures and of the simplicial algebraic topology . Ferrario (Univ. di Milano-Bicocca, Italy) and Piccinini (Dalhousie Univ., Canada) aim to develop the simplicial homology and cohomology of finite simplicial complexes, and of their geometric realizations with an eye to reaching the classification theory for compact 2-mainfolds. The foreword, preface, exercises, references, and index all add value to the book. Summing Up: Recommended. Academic audiences; upper-division undergraduates and above. (F. E. J. Linton, Choice, Vol. 48 (11), August, 2011)

From the reviews: The book under review is a modern and enlightened exposition of those finite combinatorial structures and of the simplicial algebraic topology ! . Ferrario (Univ. di Milano-Bicocca, Italy) and Piccinini (Dalhousie Univ., Canada) aim to develop the simplicial homology and cohomology of finite simplicial complexes, and of their geometric realizations ! with an eye to reaching the classification theory for compact 2-mainfolds. ! The foreword, preface, exercises, references, and index all add value to the book. Summing Up: Recommended. Academic audiences; upper-division undergraduates and above. (F. E. J. Linton, Choice, Vol. 48 (11), August, 2011) This book is about the topology of finite simplicial structures ! . The book is generally well-written ! . One of the main strengths of the book lies in plenty of motivating discussion and explanation, with good use of examples. There are plenty of exercises at the ends of most chapter sections. In summary, this is good text for advanced undergraduate students and beginning graduate students in topology. It is potentially useful as a source of project topics for undergraduate students. (Sarah Whitehouse, CMS Notes, Vol. 43 (5), October-November, 2011)

Author Information

R.A. Piccinini: B.Sc. Universidade de S. Paulo (Brazil); Ph.D. The University of Wisconsin-Madison (USA). Professor: University of S.Paulo, Memorial University (Canada), Universita` di Milano (Italy), Universita` di Milano-Bicocca (Italy). Adjunct Professor: Dalhousie University (Canada). D.L. Ferrario: B.Sc. And PhD in Mathematics, University of Milano (Italy). Associate professor of Geometry at the University of Milano-Bicocca. Italy.

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