KOSINSKI DIFFERENTIAL MANIFOLDS PDF

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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Preview — Differential Manifolds by Antoni A. Differential Manifolds by Antoni A. The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory.

Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres.

Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of the h-cobordism theorem based on these constructions. There follows a chapter on the Pontriagin Construction—the principal link between differential topology and homotopy theory.

The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. The text is supplemented by numerous interesting historical notes and contains a new appendix, "The Work of Grigory Perelman," by John W. Morgan, which discusses the most recent developments in differential topology. Get A Copy. Paperback , pages. Published October 19th by Dover Publications first published October 21st More Details Original Title.

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About Antoni A. Antoni A. Fall in Love with These June Romances. Some people love books. Some people fall in love. And some people fall in love with books about falling in love. Every month our team sorts throug Read more Trivia About Differential Mani No trivia or quizzes yet.

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Differential Manifolds

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. This seems like such an egregious error in such an otherwise solid book that I felt I should ask if anyone has noticed to be sure I'm not misunderstanding something basic. In his section on connect sums, Kosinski does not seem to acknowledge that, in the case where the manifolds in question do not admit orientation reversing diffeomorphisms, the topology in fact homotopy type of a connect sum of two smooth manifolds may depend on the particular identification of spheres used to connect the manifolds. His definition of connect sum is as follows. Later on page 95 he claims in Theorem 2.

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Differential Manifolds, Volume 138

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