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 paperback editions preserve the original texts of these important books while presenting them in durable paperback 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.
Reviews
John 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
*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