Modern Algebraic Topology
by D. G. Bourgin
Publisher: Macmillan 1963
Number of pages: 544
Contents: Preliminary algebraic background; Chain relationships; Fundamentals of the absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; Gratings; Fundamental omology relations and applications; Homological algebra; Uniqueness proofs and fixed point indices; etc.
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by Thomas Ward - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
by Dikran Dikranjan - UCM
These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem.
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 Greg Friedman - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.