In most major universities one of the three or four basic first-year graduate mathematics courses is Algebraic topology.
A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers..
The author emphasizes the geometric aspects of the subject, which helps students gain intuition.
The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally.
This 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.
In most major universities one of the three or four basic first-year graduate mathematics courses is Algebraic topology
