This free introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally.
Use the following url to access the free ebook Algebraic Topology .
http://www.math.cornell.edu/~hatcher/AT/ATpage.html
