Algebraic topology TeX Export

@book{citeulike:471863, abstract = { This book is one of the most interesting and accessible texts to come out in recent years. The subject is presented in three broad areas: elementary notions including fundamental group, homology and cohomology, and homotopy theory. In most cases, some of the more sophisticated topics, such as \$H\$-spaces, Bockstein homomorphisms and Hopf invariants, are placed in sections called "Additional Topics" at the end of the appropriate chapter. <P> The style is refreshingly informal, although precise definitions are always given. The author always prepares the reader for the next idea, and there are basic, simple black and white pictures which really help. He is not afraid to repeat ideas with increasing generality. For example, there are treatments of Postnikov towers which begin with a cellular version, go on to the usual tower of principal fibrations and end with Moore-Postnikov decompositions. The reviewer finds this a very "student-friendly" approach (very different from the texts which always look for the greatest generality). There are many excellent examples. <P> The author talks about two further volumes involving spectral sequences and \$K\$-theory. When complete, this will be a major achievement which will help a great many serious students.}, address = {Cambridge}, author = {Hatcher, Allen}, citeulike-article-id = {471863}, citeulike-linkout-0 = {http://www.ams.org/mathscinet-getitem?mr=1867354}, mrnumber = {MR1867354}, posted-at = {2007-06-19 22:08:56}, priority = {0}, publisher = {Cambridge University Press}, title = {Algebraic topology}, url = {http://www.ams.org/mathscinet-getitem?mr=1867354}, year = {2002} }

TY - BOOK ID - citeulike:471863 L3 - citeulike-article-id:471863 N2 - This book is one of the most interesting and accessible texts to come out in recent years. The subject is presented in three broad areas: elementary notions including fundamental group, homology and cohomology, and homotopy theory. In most cases, some of the more sophisticated topics, such as $H$-spaces, Bockstein homomorphisms and Hopf invariants, are placed in sections called "Additional Topics" at the end of the appropriate chapter. <P> The style is refreshingly informal, although precise definitions are always given. The author always prepares the reader for the next idea, and there are basic, simple black and white pictures which really help. He is not afraid to repeat ideas with increasing generality. For example, there are treatments of Postnikov towers which begin with a cellular version, go on to the usual tower of principal fibrations and end with Moore-Postnikov decompositions. The reviewer finds this a very "student-friendly" approach (very different from the texts which always look for the greatest generality). There are many excellent examples. <P> The author talks about two further volumes involving spectral sequences and $K$-theory. When complete, this will be a major achievement which will help a great many serious students. AD - Cambridge TI - Algebraic topology PB - Cambridge University Press AU - Hatcher, Allen PY - 2002/// UR - http://www.ams.org/mathscinet-getitem?mr=1867354 ER -