This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. I wrote it because of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J. H. C. Whitehead’s beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. This belief is buttressed by the fact that the major uses of, and advances in, the theory in recent times-for example, the s-cobordism theorem (discussed in §25), the use of the theory in surgery, its extension to non-compact complexes (discussed at the end of §6) and the proof of topological invariance (given in the Appendix)-have come from just such an understanding. A second reason for writing the book is pedagogical. This is an excellent subject for a topology student to “grow up” on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory.
A Course in Simple Homotopy Theory Free Download
April 8, 2022
You may also like
APPLIED MATHEMATICS
Boundary Value Problems, Integral Equations and Related Problems by Liang fook Lye PDF
October 10, 2023
In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of...
APPLIED MATHEMATICS
Solution Manual Advanced Modern Engineering Mathematics, 4th Edition by Glyn James PDF
October 10, 2023
This market-leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self contained subject matter...
APPLIED MATHEMATICS
Advanced Modern Engineering Mathematics, 4th Edition by Glyn James PDF
October 10, 2023
This market-leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self contained subject matter...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment