The Geometry of Iterated Loop Spaces
by J. P. May
Publisher: Springer 1972
ISBN/ASIN: 3540059040
ISBN-13: 9783540059042
Number of pages: 175
Description:
This is the first of a series of papers devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
Download or read it online for free here:
Download link
(4.8MB, PDF)
Similar books
Notes on the course Algebraic Topologyby Boris Botvinnik - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(10603 views)
Prerequisites in Algebraic Topologyby Bjorn Ian Dundas - NTNU
This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.
(11599 views)
Lectures on Etale Cohomologyby J. S. Milne
These are the notes for a course taught at the University of Michigan in 1989 and 1998. The emphasis is on heuristic arguments rather than formal proofs and on varieties rather than schemes. The notes also discuss the proof of the Weil conjectures.
(9802 views)
Introduction to Topological Groupsby Dikran Dikranjan - UCM
These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem.
(10730 views)