libcats.org
Главная

Regular relations and strictly completely regular ordered spaces

Нет обложки

Regular relations and strictly completely regular ordered spaces

,
The classical theorem of Zarecki˘ı about regular relations is slightly extended and an intrinsic characterization of regularity is given. Based on the extended Zarecki˘ı theorem and the intrinsic characterization of regularity, we give a characterization of the strict complete regularity of ordered spaces by means of a certain regular relation between the closed and the open upper sets. As an application, it is shown that a quasicontinuous domain endowed with the Lawson topology is strictly completely regular, provided that the Lawson-open lower sets are contained in the lower topology.By means of regular relations we present a new proof of the strict Tychonoff embedding theorem for strictly completely regular ordered spaces.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

Шликерное литье

Автор:
Категория: science, science, technical
Размер книги: 5.98 Mb
Только что пользователи скачали эти книги:

Vidal, Gore - The American Chronicle 01 - Burr

Автор:
Размер книги: 555 Kb

Послания основателей

Автор:
Категория: Ченнелинг
Размер книги: 1.06 Mb

Курс инженерной геодезии.

Автор:
Размер книги: 11.40 Mb