Odious
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aplomb
发表于 2025-3-21 23:27:54
are dealt with in considerable detail. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5 and the beginning of Chapter 10, presents the fundamental aspects of the subject insofar as they can be discussed without introducing the Stone-Cech compactification. In978-1-4615-7819-2
Between
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Functions on a Topological Space,The set .) of all continuous, real-valued functions on a topological space . will be provided with an algebraic structure and an order structure.
过度
发表于 2025-3-22 07:31:14
Ideals and ,-Filters,Continuing our study of the relations between algebraic properties of .) and topological properties of ., we now examine the special features of the family of zero-sets of an . of functions. Such a family turns out to possess properties analogous to those of a filter; this fact will play a central role in the development.
Fecal-Impaction
发表于 2025-3-22 09:16:54
Fixed Ideals. Compact Spaces,We have seen that in the study of rings of continuous functions there is no need to deal with spaces that are not completely regular. Accordingly,
Incompetent
发表于 2025-3-22 16:57:14
Dimension,This chapter is devoted to an exposition of Katětov’s characterization of the dimension of . in terms of .). We include little more of dimension theory than is needed for a self-contained proof of Katětov’s theorem. The few additional properties of dimension that are found here should help the reader to examine some illuminating examples.
职业
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Springer-Verlag New York 1960
解脱
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The university series in higher mathematicshttp://image.papertrans.cn/r/image/830423.jpg
澄清
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MUT
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Ordered Residue Class Rings,pter initiates the study of residue class fields modulo arbitrary maximal ideals. Each such field has the following properties, as will be shown: it is a totally ordered field, whose order is induced by the partial order in ., and the image of the set of constant functions is an isomorphic copy—necessarily order-preserving—of the real field.