A Concise Course in Algebraic Topology
by J. P. May
Publisher: University Of Chicago Press 1999
ISBN/ASIN: 0226511839
ISBN-13: 9780226511832
Number of pages: 251
Description:
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Introduction to Algebraic Topology and Algebraic Geometryby U. Bruzzo
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
(13227 views)
Equivariant Stable Homotopy Theoryby G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure - 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.
(16143 views)
Notes on the course Algebraic Topologyby Boris Botvinnik - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(12080 views)
The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheresby Paul Goerss - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
(13726 views)