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An Introduction to Algebraic Topology (Graduate Texts in Mathematics (119)) by Joseph J. Rotman (auth.) is a nonfiction available to read on EtoBox.

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There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g. , most students know very little homological algebra); the second obstacle is that the basic defini tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g. , homology with coeffi cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal

Who reads An Introduction to Algebraic Topology (Graduate Texts in Mathematics (119))?

Author

Joseph J. Rotman (auth.)

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

1988

Language

EN

ISBN

9783540966784

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem