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.
Home page url
Download or read it online for free here:
by Jean Gallier, Dianna Xu
In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.
by Robin Hartshorne - Springer
The main purpose of these notes is to prove a duality theorem for cohomology of quasi-coherent sheaves, with respect to a proper morphism of locally noetherian preschemes. Various such theorems are already known. Typical is the duality theorem ...
by Sidney A. Morris (ed.) - MDPI AG
The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
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.