Algebraic topology
Allen Hatcher
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.
카테고리:
년:
2002
출판사:
Cambridge University Press
언어:
english
페이지:
553
ISBN 10:
0521795400
ISBN 13:
9780521795401
파일:
PDF, 3.36 MB
IPFS:
,
english, 2002