English

Algebraic topology from geometric viewpoint

Geometric Topology 2016-05-18 v4 Algebraic Topology

Abstract

This book is expository and is in Russian. It is shown how in the course of solution of interesting geometric problems (close to applications) naturally appear main notions of algebraic topology (homology groups, obstructions and invariants, characteristic classes). Thus main ideas of algebraic topology are presented with minimal technicalities. Familiarity of a reader with basic notions of topology (such as 2-dimensional manifolds and vector fields) is desirable, although definitions are given at the beginning. The book is accessible to undergraduates and could also be an interesting easy reading for professional mathematicians.

Keywords

Cite

@article{arxiv.0808.1395,
  title  = {Algebraic topology from geometric viewpoint},
  author = {A. Skopenkov},
  journal= {arXiv preprint arXiv:0808.1395},
  year   = {2016}
}

Comments

168 pages, in Russian, many figures; some sections are rewritten; published by MCCME, 2015, Moscow, ISBN 9785443902937, http://www.mccme.ru/circles/oim/home/combtop13.htm#photo

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