Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2020, Volume: 61, Number: 3, Pages: 426-452 Pages count : 27 DOI: 10.1134/S0037446620030052 | ||||
| Tags | Boolean-valued algebraic system; Boolean-valued analysis; cumulative hierarchy; set theory; universe | ||||
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Abstract:
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. © 2020, Pleiades Publishing, Ltd.
Cite:
Gutman A.E.
Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies
Siberian Mathematical Journal. 2020. V.61. N3. P.426-452. DOI: 10.1134/S0037446620030052 WOS Scopus OpenAlex
Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies
Siberian Mathematical Journal. 2020. V.61. N3. P.426-452. DOI: 10.1134/S0037446620030052 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000540148300005 |
| Scopus: | 2-s2.0-85086333219 |
| OpenAlex: | W3034263925 |