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Titlebook: General Topology; Jacques Dixmier Textbook 1984 Springer Science+Business Media New York 1984 Cantor.Compact space.Connected space.Finite.

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樓主: TRACT
11#
發(fā)表于 2025-3-23 13:37:09 | 只看該作者
12#
發(fā)表于 2025-3-23 16:15:59 | 只看該作者
13#
發(fā)表于 2025-3-23 19:18:01 | 只看該作者
Limits of Functions, tend simply, to a function .. In this chapter we study these concepts in the general setting of metric spaces. We obtain in this way certain of the ‘infinite-dimensional’ spaces alluded to in the Introduction, and, thanks to Ascoli’s theorem, the . of these spaces.
14#
發(fā)表于 2025-3-24 00:06:35 | 只看該作者
15#
發(fā)表于 2025-3-24 02:49:53 | 只看該作者
Connected Spaces,istinguish, by various methods, those spaces that are ‘in one piece’ (for example a disc, or the complement of a disc in a plane) and those which are not (for example, the complement of a circle in a plane).
16#
發(fā)表于 2025-3-24 07:11:54 | 只看該作者
Statistical Models of Chromosome Evolution,iated with them. For example, one has an intuitive notion of what is a boundary point of a set E (a point that is ‘a(chǎn)t the edge’ of E), a point adherent to E (a point that belongs either to E or to its edge), and an interior point of E (a point that belongs to E but is not on the edge). The precise d
17#
發(fā)表于 2025-3-24 13:40:23 | 只看該作者
Computational Methods in Psychiatrypt: limit of a sequence of points in a metric space, limit of a function at a point, etc. To avoid a proliferation of statements later on, we present in §2 a framework (limit along a ‘filter base’) that encompasses all of the useful aspects of limits. It doesn’t hurt to understand this general defin
18#
發(fā)表于 2025-3-24 16:15:45 | 只看該作者
Computational Modeling in Biomechanics seen this in the study of vector space structure. The same is true for topological spaces. This yields important new spaces (for example, the tori ..; cf. also the projective spaces, in the exercises for Chapter IV).
19#
發(fā)表于 2025-3-24 21:00:34 | 只看該作者
20#
發(fā)表于 2025-3-25 01:25:15 | 只看該作者
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