Algebraic Topology (1st Edition) By Allen Hatcher – eBook PDF:
In most major universities one of the three or four basic first year graduate mathematics courses is algebraic topology.
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. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally.
The author emphasizes the geometric aspects of the subject, which helps students gain intuition.
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.
ISBN: 9780521795401; 0521795400; 052179160X; 9780521791601
NOTE: The product includes the ebook, Algebraic Topology, 1st Edition in PDF. No access codes are included.
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