A Concise Course in Algebraic Topology

Amazing book. Extremely dense but probably the only treatment of algebraic geometry using the language of category theory.

clean and brand new copy

The book covers most of the areas of Algebraic Topology, but in a intuitive and not fully rigorous manner, in my opinion. Recommended.

I have always believed that the "goodness" of a mathematical textbook is inversely proportional to its length. J. P. May's book "A Concise Course in Algebraic Topology" is a superb demonstration of this. While the book is indeed extremely terse, it forces the reader to thoroughly internalize the concepts before moving on. Also, it presents results in their full generality, making it a helpful reference work.

clear, excellent book