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Algebraic Topology-Allen Hatcher Empty Algebraic Topology-Allen Hatcher

Jue Sep 24, 2020 11:51 am

Algebraic Topology-Allen Hatcher Algebraic.topology-aly2jfx


Algebraic Topology-Allen Hatcher
pdf | 3.53 MB | : English | Isbn:978-0521795401 | Author: Allen Hatcher | PAge: 553 | Year: 2009



:

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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