| 书目名称 | Topology I | | 副标题 | General Survey | | 编辑 | S. P. Novikov | | 视频video | | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as "general topology" - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be surveyed in detail by others. ) With this qualification, it may be daimed that the "topology" dealt with in the present survey is that mathematieal subject whieh in the late 19th century was called Analysis Situs, and at various later periods separated out into various subdisciplines: "Combinatorial topology", "Algebraic topology", "Differential (or smooth) topology", "Homotopy theory", "Geometrie topology". With the growth, over a long period of time, in applications of topology to other areas of mathematics, the following further subdisciplines crystallizedout: the global calculus of variations, global geometry, the topology of Lie groups and homogeneous spaces, the topology of complex manifolds and alge braic varieties, the qualitative (topologieal) th | | 出版日期 | Book 1996 | | 关键词 | Algebraic Topology; Algebraische Topologie; Homotopy; K-theory; Topological Methods in Geometry; Topologi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-10579-5 | | isbn_softcover | 978-3-642-05735-9 | | isbn_ebook | 978-3-662-10579-5Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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发表于 2025-3-21 18:49:56
