Algebraic Topology (2025) (Florian Kranhold)

0521298407 Florian Kranhold Cambridge University Press 2001

Catergory: Mathematics, Nonfiction

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.

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📌 Kranhold F. Topics In Algebraic Topology 2025.pdf (Florian Kranhold) (2001) (817.25 KB)

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⭐️ Algebraic Topology (2025) ✅ (818.39 KB)
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