Algebraic Topology

Allen Hatcher

ISBN 10: 0521795400 / ISBN 13: 9780521795401

Verlag: Cambridge University Press, Great Britain, 2001

In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: 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 of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: 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 a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book. 544 pages. Light foxing to top of page edges. Previous owners name on front endpaper. Quantity Available: 1. Shipped Weight: 1-2 kilos. Category: Mathematics; Mathematics; ISBN: 0521795400. ISBN/EAN: 9780521795401. Inventory No: 277770. Bestandsnummer des Verkäufers 277770

Inhaltsangabe:

An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Über die Autorin bzw. den Autor: Cornell University, New York

Bibliografische Details

Titel: Algebraic Topology
Verlag: Cambridge University Press, Great Britain
Erscheinungsdatum: 2001
Einband: Softcover
Zustand: Good