晚来的提名
发表于 2025-3-25 03:47:29
,The Stone-Čech Compactification,lready succeeded in obtaining characterizations in case . is compact—by attaching each maximal ideal to a point of the space (see 4.9(a)). The next step in our program is to extend this result, somehow, to the case of arbitrary (completely regular) .. In the general situation—when . is not pseudocom
colloquial
发表于 2025-3-25 08:30:52
Characterization of Maximal Ideals,ter. The key to the description of the maximal ideals in .) has already been given: .) is isomorphic with .), and the maximal ideals in the latter ring are in one-one correspondence with the points of ..
ELUDE
发表于 2025-3-25 14:59:54
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外表读作
发表于 2025-3-25 19:06:00
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Emmenagogue
发表于 2025-3-25 20:45:22
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abstemious
发表于 2025-3-26 00:47:30
Discrete Spaces. Nonmeasurable Cardinals,alcompact. The question arises whether . discrete spaces are realcompact. Since, among discrete spaces, the cardinal is the only significant variable, this is, in fact, a question about cardinal numbers.
吸气
发表于 2025-3-26 07:53:45
Hyper-Real Residue Class Fields,). Although none of the material developed after Chapter 5 will be called upon, we shall need quite a bit more of the abstract theory of fields than heretofore. We begin with a summary of these algebraic prerequisites.
glowing
发表于 2025-3-26 11:00:04
Prime Ideals,heorem 5.5), and hence that the canonical homomorphism .) of . onto . is a lattice homomorphism as well. Moreover, the integral domain . is totally ordered. The set of images of the constant functions is a copy of ., and we identify this copy with . itself.
Offbeat
发表于 2025-3-26 15:07:53
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Vsd168
发表于 2025-3-26 17:58:42
,The Stone-Čech Compactification,ep in our program is to extend this result, somehow, to the case of arbitrary (completely regular) .. In the general situation—when . is not pseudocompact— we will be faced with two distinct problems: that of ., and that of ..