𝔖 Bobbio Scriptorium
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A Categorical Property of the Stone - Cech Compactification

✍ Scribed by R. B. Beshimov

Book ID
111500016
Publisher
Allerton Press, Inc.
Year
2007
Tongue
English
Weight
531 KB
Volume
17
Category
Article
ISSN
1055-1344

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✦ Synopsis

We study some categorical properties of the functor Oβ of weakly additive functionalsacting in the category Tych of the Tychonoff spaces and their continuous mappings. We show that Oβ preserves the weight of infinite-dimensional Tychonoff spaces, the singleton, and the empty set, and that Oβ is monomorphic and continuous in the sense of T. Banakh, takes every perfect mapping to an epimorphism, and preserves intersections of functionally closed sets in a Tychonoff space.

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The Stone–Čech compactification of local
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✍ Bernhard Banaschewski; Christopher J. Mulvey 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 134 KB

The Stone-Ä Cech compactiÿcation of a locale L is shown to be obtained constructively by taking the Lindenbaum locale of the theory of almost prime completely regular ÿlters on L. Modifying the theory by replacing the completely below relation by the strongly below relation yields instead the compac