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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Lectures on the h-Cobordism Theorem
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Information
Publisher
Princeton University PressYear
2025Print ISBN
9780691624556
9780691079967
eBook ISBN
9780691273716
Table of contents
- Cover Page
- Title Page
- Copyright Page
- 0. Introduction
- Contents
- 1. The Cobordism Category
- 2. Morse Functions
- 3. Elementary Cobordisms
- 4. Rearrangement of Cobordisms
- 5. A Cancellation Theorem
- 6. A Stronger Cancellation Theorem
- 7. Cancellation of Critical Points in the Middle Dimensions
- 8. Elimination of Critical Points of Index 0 and 1
- 9. The h-Cobordism Theorem and Some Applications
- References
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Yes, you can access Lectures on the h-Cobordism Theorem by John Milnor in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over 1.5 million books available in our catalogue for you to explore.