**Collected Works**

Volume: 19;
2009;
368 pp;
Hardcover

MSC: Primary 55; 57;
**Print ISBN: 978-0-8218-4475-5
Product Code: CWORKS/19.4**

List Price: $83.00

Individual Member Price: $66.40

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# Collected Papers of John Milnor: IV. Homotopy, Homology and Manifolds

Share this page *Edited by *
*John McCleary*

The development of algebraic topology in the 1950's and 1960's was
deeply influenced by the work of Milnor. In this collection of papers
the reader finds those original papers and some previously
unpublished works. The book is divided into four parts: Homotopy
Theory, Homology and Cohomology, Manifolds, and Expository
Papers. Introductions to each part provide some historical context and
subsequent development. Of particular interest are the articles on
classifying spaces, the Steenrod algebra, the introductory notes on
foliations and the surveys of work on the Poincaré
conjecture.

Together with the previously published volumes
I–III of the Collected Works by John Milnor, volume IV provides a rich
portion of the most important developments in geometry and topology
from those decades.

This volume is highly recommended to a
broad mathematical audience, and, in particular, to young
mathematicians who will certainly benefit from their acquaintance with
Milnor's mode of thinking and writing.

#### Readership

Graduate students and research mathematicians interested in algebraic differential topology.