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Inverse limits in the category of locales

✍ Scribed by Wei He; Yingming Liu

Book ID
105640216
Publisher
SP Science China Press
Year
1998
Tongue
English
Weight
406 KB
Volume
41
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES

Inverse limits in category LTop (II)
Inverse limits in category LTop (II)
✍ Sheng-Gang Li πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 140 KB

This paper is a sequel to Li (1999). For some classes F of L-valued Zadeh functions, we will discuss two problems connected with inverse limits in LTop, K 1 HLTop and K 2 HLTop: (1) Will the condition that all L-valued Zadeh functions between factor L-fts of two given inverse systems are in F imply

Products in the category of locales: whi
Products in the category of locales: which properties are preserved?
✍ Jan Paseka πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 656 KB

In this paper we are going to study the category of finitely regular locales. We shall show that any product of finitely regular locales with some covering property has this property as well. As a partial result we have that any product of compact (paracompact) locales is compact (paracompact).

The first derived functor of the inverse
The first derived functor of the inverse limit and localization
✍ Kouyemon Iriye πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 92 KB

For a tower G of ΓΏnitely generated nilpotent groups we denote by G (p) its localization at a prime p. is an inΓΏnite-to-one covering. Another result concerning the ΓΏrst derived functor of the inverse limit and localization is also shown in this paper.