荒唐 发表于 2025-3-25 06:03:26

https://doi.org/10.1007/978-1-349-22916-1By now, we have assumed only that in every algebra we encounter there are a supremum and an infimum of each finite subset (likewise in a general lattice). We now strengthen the requirements on an algebra.

Microgram 发表于 2025-3-25 10:11:39

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长矛 发表于 2025-3-25 11:56:24

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AMBI 发表于 2025-3-25 15:51:15

Local Tax Benefits at a DistanceThis chapter is devoted, primarily, to constructing homomorphisms or, equivalently, continuous mappings of Stone spaces. The following extension problem is central here: Let X. be a subalgebra of a Boolean algebra X and let Φ. be a homomorphism from X. into a Boolean algebra Y. Does Φ. admit an extension to a homomorphism Φ from X into Y?

暂停,间歇 发表于 2025-3-25 22:10:17

Interstitial stereotactic radiosurgery,This section is devoted to the ...: What .. the ...? If we consider the elements of the algebra as events then our problem admits the following formulation: . countably . to zero .?

隐藏 发表于 2025-3-26 00:55:34

Preliminaries on Boolean AlgebrasEach Boolean algebra is a partially ordered set of a special form. Therefore, we start with some general facts and concepts relating to order.

昏迷状态 发表于 2025-3-26 05:23:33

Complete Boolean AlgebrasBy now, we have assumed only that in every algebra we encounter there are a supremum and an infimum of each finite subset (likewise in a general lattice). We now strengthen the requirements on an algebra.

Additive 发表于 2025-3-26 09:28:51

Representation of Boolean AlgebrasEach Boolean algebra is isomorphic to an algebra of sets. This fact was already mentioned in the preceding chapters. Below, we give an exact formulation and a complete proof of the celebrated Stone Theorem and discuss the problems that arise in connection with this theorem.

旋转一周 发表于 2025-3-26 14:54:58

Topologies on Boolean AlgebrasA partially ordered set . is said to be .(.) whenever for every two elements α., α. ∈ . there is an element α ∈ . such that the following relations hold simultaneously:. α ≻ α. and α ≻ -α. (α ≺ α. and α ≺α.).

镶嵌细工 发表于 2025-3-26 17:16:14

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查看完整版本: Titlebook: Boolean Algebras in Analysis; D. A. Vladimirov Book 2002 Springer Science+Business Media Dordrecht 2002 functional.functional analysis.set