Description
Book SynopsisThese 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-dema
Trade ReviewJohn Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society
Table of Contents*Frontmatter, pg. i*Introduction, pg. iii*Contents, pg. v*Section 1. The Cobordism Category, pg. 1*Section 2. Morse Functions, pg. 7*Section 3. Elementary Cobordisms, pg. 20*Section 4. Rearrangement of CobordlBms, pg. 37*Section 5. A Cancellation Theorem, pg. 45*Section 6. A Stronger Cancellation Theorem, pg. 67*Section 7. cancellation of Critical Points in the Middle Dimensions, pg. 85*Sections 8. Elimination of Critical Points of Index 0 end 1, pg. 100*Section 9. The h-Cobordism Theorem end Some Applications, pg. 107*References, pg. 114