A Topology Primer
by Klaus Wirthmüller
Publisher: Technische Universität Kaiserslautern 2002
Number of pages: 197
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 successfully completed their first year courses in analysis and linear algebra.
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by Allen Hatcher - Cambridge University Press
Introductory text suitable for use in a course or for self-study, it covers fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The geometric aspects of the subject are emphasized.
by J. P. May - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
by Bjorn Ian Dundas - NTNU
This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.
by 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.