02322nam a22003375a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016708400150018410000330019924500790023226000820031130000340039333600260042733700260045333800360047934700240051549000610053950600660060052011600066665000310182665000280185785600320188585600670191740-091109CH-001817-320091109150325.0a fot ||| 0|cr nn mmmmamaa091109e20060510sz fot ||| 0|eng d a978303719523970a10.4171/0232doi ach0018173 7aPBPD2bicssc a55-xx2msc1 aMatveev, Sergey V.,eauthor.10aLectures on Algebraic Topologyh[electronic resource] /cSergey V. Matveev3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2006 a1 online resource (106 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-51761 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aAlgebraic topology2bicssc07aAlgebraic topology2msc40uhttps://doi.org/10.4171/023423cover imageuhttps://www.ems-ph.org/img/books/matveev_mini.jpg