TY  - BOOK
AU  - Matveev,Sergey V.
AU  - Matveev,Sergey V.
TI  - Lectures on Algebraic Topology
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037195239
PY  - 2006///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Algebraic topology
KW  - bicssc
KW  - msc
N1  - Restricted to subscribers
N2  - Algebraic 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
UR  - https://doi.org/10.4171/023
UR  - http://www.ems-ph.org/img/books/matveev_mini.jpg
ER  -