Selected works. Vol. 3 Algebraic and differential topology 9782881241345, 9782881240355, 2881240356
164 44 2MB
English Pages [275] Year 2019
Table of contents :
Contents
Editors Preface R. V. Gamkrelidze
FOUNDATIONS OF ALGEBRAIC TOPOLOGY
Preface to the Second Russian Edition
Introduction
Notat
I. Complexes and Their Homology Groups
II. Invariance of Homology Groups
III. Continuous Mappings and Fixed Points
SMOOTH MANIFOLDS AND THEIR APPLICATIONS IN HOMOTOPY THEORY
Preface to the Second Russian Edition
Introduction
I. Smooth Manifolds and Their Smooth Mappings
II. Framed Manifolds
III. The Hopf Invariant
IV. Classification of the Mappings of ( n + 1)- and ( n + 2)-Dimensional Spheres into an n-Dimensional Sphere
References
![A History of Algebraic and Differential Topology, 1900 - 1960 [1 ed.]
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