This book introduces the important ideas of algebraic topology emphasizing
the relation of these ideas with other areas of mathematics. Rather than
choosing one point of view of modern topology (homotropy theory, axiomatic
homology, or differential topology, say) the author concentrates on concrete
problems in spaces with a few dimensions, introducing only as much algebraic
machinery as necessary for the problems encountered. This makes it possible
to see a wider variety of important features in the subject than is common
in introductory texts; it is also in harmony with the historical development
of the subject. The book is aimed at students who do not necessarily intend
on specializing in algebraic topology. The first part of the book emphasizes
relations with calculus and uses these ideas to prove the Jordan curve
theorem. The study of fundamental groups and covering spaces emphasizes
group actions. A final section gives a taste of the generalization to higher
dimensions.
i.d.R. innert 5-10 Tagen versandfertig
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