Homotopy, Homology, and Manifolds

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American Mathematical Soc., Jan 1, 2009 - Mathematics - 368 pages
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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 In this collection of papers the reader finds those original papers and some previously unpublished works.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 Poincare 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.
  

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Contents

V
3
VI
7
VII
21
VIII
29
IX
35
X
45
XI
55
XII
57
XXIII
159
XXIV
167
XXV
173
XXVI
191
XXVII
227
XXVIII
255
XXIX
257
XXX
261

XIII
61
XIV
83
XV
101
XVI
107
XVII
113
XVIII
117
XIX
131
XX
133
XXI
141
XXII
151
XXXI
279
XXXIII
321
XXXIV
325
XXXV
337
XXXVI
345
XXXVII
357
XXXVIII
363
XXXIX
365
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