Notes on the course Algebraic Topology
by Boris Botvinnik
Publisher: University of Oregon 2010
Number of pages: 181
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; Homotopy groups of CW-complexes; Homology groups: basic constructions; Homology groups of CW-complexes; Homology and homotopy groups; Homology with coefficients and cohomology groups; etc.
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by Danny Calegari - 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.
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 Klaus Wirthmüller - 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.
by D. G. Bourgin - Macmillan
Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.