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Titlebook: Basic Topology; M. A. Armstrong Textbook 1983 Springer Science+Business Media New York 1983 Algebraic topology.Basic.Fundamental group.Top

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樓主: CROSS
31#
發(fā)表于 2025-3-26 22:02:35 | 只看該作者
0172-6056 hem. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties
32#
發(fā)表于 2025-3-27 01:58:54 | 只看該作者
A. Kurzmann,S. Butzer,T. Bohlenn characterize these subsets by a purely topological property, that is to say a property which involves only the topological structure of E. and makes no mention of the idea of distance. This property, when formulated for topological spaces in general, is called ‘compactness’.
33#
發(fā)表于 2025-3-27 05:59:54 | 只看該作者
Compactness and Connectedness,n characterize these subsets by a purely topological property, that is to say a property which involves only the topological structure of E. and makes no mention of the idea of distance. This property, when formulated for topological spaces in general, is called ‘compactness’.
34#
發(fā)表于 2025-3-27 10:47:50 | 只看該作者
Compactness and Connectedness,ribed in Chapter 1 and the finite simplicial complexes which we shall construct in Chapter 6 in order to triangulate spaces. We shall show that one can characterize these subsets by a purely topological property, that is to say a property which involves only the topological structure of E. and makes
35#
發(fā)表于 2025-3-27 16:34:31 | 只看該作者
Identification Spaces,he points of .. We have already made use of this process: in Chapter 1 we had occasion to construct various surfaces and we showed how to obtain the M?bius strip, the torus, and the Klein bottle by making appropriate identifications of the edges of a rectangle. We propose to examine the construction
36#
發(fā)表于 2025-3-27 19:11:39 | 只看該作者
Triangulations,topological spaces and continuous functions and to prove many important results. However, working in such a general setting we quickly run into two kinds of difficulty. On the one hand, in trying to prove a concrete geometrical result such as the classification theorem for surfaces, the purely topol
37#
發(fā)表于 2025-3-28 00:48:02 | 只看該作者
38#
發(fā)表于 2025-3-28 05:24:48 | 只看該作者
39#
發(fā)表于 2025-3-28 06:37:29 | 只看該作者
Darwin V. Ellis,Julian M. Singerategory (Hoffman, 1961, 1984; Lamb, 1982). For example, employed women may differ in their reasons for working, peer and spouse support of their employment, numbers of hours they are employed, and type of job they hold; the list is endless. Consequently, the simple model of comparing employed and no
40#
發(fā)表于 2025-3-28 12:59:47 | 只看該作者
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