Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (12 chapters)
Keywords
About this book
Marcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autónoma de México, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigación y Estudios Avanzados del IPN.
Reviews
From the reviews:
"This is a basic course on algebraic topology and … it is excellently written and composed and can be strongly recommended to anybody wishing to learn the field. The reader can find many examples, calculations, and also a number of exercises. … The book has two appendices, … references consisting of 83 items and a long list of symbols. There are many remarks and comments making the orientation of the reader in the field of algebraic topology easier … ." (EMS, June, 2004)
"The modus operandi of algebraic topology is to associate algebraic invariants, such as groups or rings, to a topological space in such a way that equivalent spaces exhibit isomorphic invariants; here, ‘equivalent’ may be chosen to fit the geometry of the problem. In this book, ‘equivalent’ means homotopy equivalent … . For its clarity and directness, a welcome addition to advanced mathematics collections. Upper-division undergraduates through faculty." (J. McCleary, CHOICE, December, 2002)
"The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory … . The basic concepts of homotopy theory … are used to construct singular homology and cohomology, as well as K-theory. … Throughout the text many other fundamental concepts are introduced … ." (L’Enseignement Mathematique, Vol. 48 (3-4), 2002)
“The book of Aguilar, Gitler and Prieto gives an interesting new approach for a first course in algebraic topology. … What is also very interesting is the fact that the book contains a detailed presentation of some deep results of algebraic topology not usually covered by a first book in algebraic topology … . The text is carefully well written. … the student in algebraic topology will find in the book a lot of interesting well-exposed material.” (Yves Félix, Bulletin of the Belgian Mathematical Society, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Algebraic Topology from a Homotopical Viewpoint
Authors: Marcelo Aguilar, Samuel Gitler, Carlos Prieto
Series Title: Universitext
DOI: https://doi.org/10.1007/b97586
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York 2002
Hardcover ISBN: 978-0-387-95450-9Published: 13 June 2002
Softcover ISBN: 978-1-4419-3005-7Published: 14 December 2011
eBook ISBN: 978-0-387-22489-3Published: 02 February 2008
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XXIX, 479
Additional Information: Original Spanish edition published by McGraw-Hill Interamericana Editores, 1998
Topics: Topology, Algebraic Topology