Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (12 chapters)
-
Front Matter
-
Back Matter
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