Lectures On The H Cobordism Theorem PDF Download
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Author | : John Milnor |
Publisher | : Princeton University Press |
Total Pages | : 123 |
Release | : 2015-12-08 |
Genre | : Mathematics |
ISBN | : 1400878055 |
Download Lectures on the h-Cobordism Theorem Book in PDF, ePub and Kindle
These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : John Milnor |
Publisher | : |
Total Pages | : 113 |
Release | : 1965 |
Genre | : Cobordism theory |
ISBN | : 9780691079967 |
Download Lectures on the H-cobordism Theorem Book in PDF, ePub and Kindle
Annotation The Description for this book, Lectures on the H-Cobordism Theorem, will be forthcoming.
Author | : John W. Milnor |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : Differential topology |
ISBN | : |
Download Lectures on the h-cobordism theorem, notes by L. Siebenmann and J. Sondow Book in PDF, ePub and Kindle
Author | : John Willard MILNOR |
Publisher | : |
Total Pages | : 113 |
Release | : 1965 |
Genre | : |
ISBN | : |
Download Lectures on the h-Cobordism Theorem ... Notes by L. Siebanmann and J. Sondow Book in PDF, ePub and Kindle
Author | : J. Milnor |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : Cobordism theory |
ISBN | : |
Download Lecture on the H-cobordism Theorem Book in PDF, ePub and Kindle
Author | : Augustin Banyaga |
Publisher | : Springer Science & Business Media |
Total Pages | : 330 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 140202696X |
Download Lectures on Morse Homology Book in PDF, ePub and Kindle
This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
Author | : Serguei Petrovich Novikov |
Publisher | : World Scientific |
Total Pages | : 386 |
Release | : 2007-07-09 |
Genre | : Mathematics |
ISBN | : 9814475955 |
Download Topological Library - Part 1: Cobordisms And Their Applications Book in PDF, ePub and Kindle
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “Singular homologies of fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.
Author | : John Willard Milnor |
Publisher | : Princeton University Press |
Total Pages | : 166 |
Release | : 1963 |
Genre | : Mathematics |
ISBN | : 9780691080086 |
Download Morse Theory Book in PDF, ePub and Kindle
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.' Milnor has published five books with Princeton University Press.
Author | : Matthew Bryan Burkemper |
Publisher | : |
Total Pages | : 32 |
Release | : 2014 |
Genre | : Electronic dissertations |
ISBN | : |
Download Applications of the H-Cobordism Theorem Book in PDF, ePub and Kindle
We provide an exposition of J. Milnor's proof of the h-Cobordism Theorem. This theorem states that a smooth, compact, simply connected n-dimensional manifold W with n greater than or equal to 6, whose boundary boundaryW consists of a pair of closed simply connected (n-1)-dimensional manifolds M0 and M1 and whose relative integral homology groups H(W,M0) are all trivial, is diffeomorphic to the cylinder M0 x [0, 1]. The proof makes heavy use of Morse Theory and in particular the cancellation of certain pairs of Morse critical points of a smooth function. We pay special attention to this cancellation and provide some explicit examples. An important application of this theorem concerns the generalized Poincare conjecture, which states that a closed simply connected n-dimensional manifold with the integral homology of the n-dimensional sphere is homeomorphic to the sphere. We discuss the proof of this conjecture in dimension n greater than or equal to 6, which is a consequence of the h-Cobordism Theorem.
Author | : Robert E. Stong |
Publisher | : Princeton University Press |
Total Pages | : 421 |
Release | : 2015-12-08 |
Genre | : Mathematics |
ISBN | : 1400879973 |
Download Notes on Cobordism Theory Book in PDF, ePub and Kindle
These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.