Transcription of Allen Hatcher - Cornell University
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Version , November 2017 Allen HatcherCopyrightc 2003 by Allen HatcherPaper or electronic copies for noncommercial use may be made freely without explicit permission from the other rights of ContentsIntroduction.. 1 Chapter 1. Vector Bundles.. Basic Definitions and Constructions.. 6 Sections 7. Direct Sums 9. Inner Products 11. Tensor Products Fiber Bundles Classifying Vector Bundles.. 18 Pullback Bundles 18. Clutching Functions 22. The UniversalBundle Structures on Grassmannians 31. Appendix: Paracompactness 2. K Theory.. The Functor K(X).. 39 Ring Structure 40. The Fundamental Product Theorem Bott Periodicity.. 51 Exact Sequences 51.
Introduction Everyone is familiar with the M¨obius band, the twisted product of a circle and a line, as contrasted with an annulus which is the actual product of a circle and a line.
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