Can I read Aguilar M Gitler S Prieto C Algebraic Topology From A Homotopical Viewpoint Springer on EtoBox?

Aguilar M Gitler S Prieto C Algebraic Topology From A Homotopical Viewpoint Springer by Aguilar, Marcelo, Gitler, Samuel, Prieto, Carlos is a nonfiction available to read on EtoBox.

What is Aguilar M Gitler S Prieto C Algebraic Topology From A Homotopical Viewpoint Springer about?

The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrations and cofibrations, are used to construct singular homology and cohomology, as well as K-theory. Throughout the text many other fundamental concepts are introduced, including the construction of the characteristic classes of vector bundles. Although functors appear constantly throughout the text, no knowledge about category theory is expected from the reader. This book is intended for advanced undergraduates and graduate students with a basic knowledge of point set topology as well as group theory and can be used in a two semester course.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.

Who reads Aguilar M Gitler S Prieto C Algebraic Topology From A Homotopical Viewpoint Springer?

Author

Aguilar, Marcelo, Gitler, Samuel, Prieto, Carlos

Publisher

Springer US

Published

2005

Language

EN

ISBN

9780387954509

Category

nonfiction

Subjects

Mathematics, Stem