Lectures on the H-Cobordism Theorem
Lectures on the H-Cobordism Theorem by John Milnor, published by Princeton University Press on March 25, 2025, is a significant contribution to the field of differential topology. This edition, comprising 128 pages, presents notes from a seminar delivered by Milnor in 1963 at Princeton University, focusing on a new proof of the h-cobordism theorem. Milnor’s approach offers a rigorous perspective using Morse functions, distinguishing it from the original proof by Stephen Smale.
Readers will find that this book serves as an important resource in the application of Morse theory, providing insights into the complexities of geometry and topology. The lectures encapsulate Milnor’s expertise and dedication to the subject, making it a valuable addition for those interested in advanced mathematical concepts. This edition is presented in English and is designed for readers seeking a deeper understanding of differential topology and its foundational principles.
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Important lectures on differential topology by acclaimed mathematician John Milnor
These are notes from lectures that John Milnor delivered as a seminar on differential topology in 1963 at Princeton University. These lectures give a new proof of the h-cobordism theorem that is different from the original proof presented by Stephen Smale. Milnor’s goal was to provide a fully rigorous proof in terms of Morse functions. This book remains an important resource in the application of Morse theory.
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