Logo

Algebraic Topology by Allen Hatcher

Large book cover: Algebraic Topology

Algebraic Topology
by

Publisher: Cambridge University Press
ISBN/ASIN: 0521795400
ISBN-13: 9780521795401
Number of pages: 559

Description:
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

Home page url

Download or read it online for free here:
Download link
(3.5MB, PDF)

Similar books

Book cover: sclscl
by - Mathematical Society of Japan
This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.
(4680 views)
Book cover: Introduction to Characteritic Classes and Index TheoryIntroduction to Characteritic Classes and Index Theory
by - Universidade de Lisboa
This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.
(4838 views)
Book cover: A Topology PrimerA Topology Primer
by - Technische Universität Kaiserslautern
The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.
(6863 views)
Book cover: Equivariant Stable Homotopy TheoryEquivariant Stable Homotopy Theory
by - Springer
Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.
(8808 views)