Overview
- Contains extensive exercises for student practice
- Creates a strong foundation in general topology before moving on to more specialized topics
- Clarifies the text with many illustrative examples
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (6 chapters)
About this book
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)
“The authors … aim is essentially to expound upon Poincare’s fundamental contributions to the subject of topology. … the content in this book could be a good choice for an upper-level undergraduate who would like to learn the basic ideas of algebraic topology without going into the technical details of singular homology. Even more advanced students, especially combinatorially-minded ones, might find it to be helpful. … this book has an interesting development in content that has not appeared elsewhere and should be a useful resource.” (Julia Bergner, Mathematical Reviews, Issue 2012 a)
“This book on algebraic topology is interesting and can be a basis for a course on homologicalalgebra or on homotopy theory or for a course on cellular structures in topology. It is a clear and comprehensive introduction to simplicial structures in topology with illustrative examples throughout and extensive exercises at the end of each chapter. This book is also a very good text for advanced undergraduate and beginning graduate students, researchers and professionals interested in topology and applications in mathematics.” (Corina Mohorianu, Zentralblatt MATH, Vol. 1211, 2011)
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Simplicial Structures in Topology
Authors: Davide L. Ferrario, Renzo A. Piccinini
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-7236-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-7235-4Published: 13 October 2010
Softcover ISBN: 978-1-4614-2698-1Published: 01 December 2012
eBook ISBN: 978-1-4419-7236-1Published: 30 September 2010
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XVI, 243
Topics: Manifolds and Cell Complexes (incl. Diff.Topology), Algebraic Topology, Topology