000 02505nam a22003855a 4500
001 40-091109
003 CH-001817-3
005 20170613140732.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 091109e20060510sz fot ||| 0|eng d
020 _a9783037195239
024 7 0 _a10.4171/023
_2doi
040 _ach0018173
072 7 _aPBPD
_2bicssc
084 _a55-xx
_2msc
100 1 _aMatveev, Sergey V.,
_eauthor.
245 1 0 _aLectures on Algebraic Topology
_h[electronic resource] /
_cSergey V. Matveev
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2006
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2006
300 _a1 online resource (106 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aEMS Series of Lectures in Mathematics (ELM)
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aAlgebraic topology is the study of the global properties of spaces by means of algebra. It is an important branch of modern mathematics with a wide degree of applicability to other fields, including geometric topology, differential geometry, functional analysis, differential equations, algebraic geometry, number theory, and theoretical physics. This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner. It presents elements of both homology theory and homotopy theory, and includes various applications. The author's intention is to rely on the geometric approach by appealing to the reader's own intuition to help understanding. The numerous illustrations in the text also serve this purpose. Two features make the text different from the standard literature: first, special attention is given to providing explicit algorithms for calculating the homology groups and for manipulating the fundamental groups. Second, the book contains many exercises, all of which are supplied with hints or solutions. This makes the book suitable for both classroom use and for independent study.
650 0 7 _aAlgebraic topology
_2bicssc
650 0 7 _aAlgebraic topology
_2msc
700 1 _aMatveev, Sergey V.,
_eauthor.
856 4 0 _uhttps://doi.org/10.4171/023
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/matveev_mini.jpg
942 _2EBK13736
_cEBK
999 _c50360
_d50360