William R. Milnor's Books

Cardiovascular Physiology

By: William R. Milnor

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This book provides coverage of the mammalian cardiovascular system and the physiological mechanisms that maintain normal function, from the molecular and cellular level to the integrated function of the entire human organism. The author also reviews historical developments in the field, and offers a detailed survey of hemodynamic variables and methods for measuring cardiovascular function.

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Page Count

526

Published Date

ISBN 10

0195058844

ISBN 13

9780195058840

Surgery on Simply-Connected Manifolds

By: William Browder

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Surgery on Simply-Connected Manifolds

By: William Browder

This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.

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