Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes.
發表於2024-12-31
An Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載
圖書標籤: 代數拓撲7
An Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載