Algebraic Topology

出版者:Springer-Verlag

作者:William Fulton

页数:0

出版时间:1995-11

价格:USD 59.95

装帧:Hardcover

isbn号码:9780387943268

丛书系列:Graduate Texts in Mathematics

图书标签:TopologyAlgebra

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 (homotopy 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.

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非常好的几何学入门教程。 讲了二维的同调和上同调。 严格地讲了微分形式（太难得了）。 复叠空间与基本群部分讲的比一般第一学期的代数拓扑标准教材多。

非常好的几何学入门教程。 讲了二维的同调和上同调。 严格地讲了微分形式（太难得了）。 复叠空间与基本群部分讲的比一般第一学期的代数拓扑标准教材多。

非常好的几何学入门教程。 讲了二维的同调和上同调。 严格地讲了微分形式（太难得了）。 复叠空间与基本群部分讲的比一般第一学期的代数拓扑标准教材多。