Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies

A. E. Gutman

doi:10.1134/S0037446620030052

Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies

A. E. Gutman

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

Under study are the notions of transitivity, regularity, and σ-regularity for Boolean-valued algebraic systems of set-theoretic signature. The notion of a universe over an arbitrary extensional Boolean-valued system is introduced. Some description is proposed for the structure of the universe by means of various hierarchies. The results are used for proving the uniqueness of a Boolean-valued universe up to a unique isomorphism.

Язык оригинала	английский
Страницы (с-по)	426-452
Число страниц	27
Журнал	Siberian Mathematical Journal
Том	61
Номер выпуска	3
DOI	https://doi.org/10.1134/S0037446620030052
Состояние	Опубликовано - 1 мая 2020

Доступ к документу

10.1134/S0037446620030052

Link to publication in Scopus

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