Some structural similarities between uncountable sets, powersets and the universe

Autor: Athanassios Tzouvaras
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Logic Quarterly. 68:136-148
ISSN: 1521-3870
0942-5616
DOI: 10.1002/malq.202100010
Popis: We establish some similarities/analogies between uncountable cardinals or powersets and the class $V$ of all sets. They concern mainly the Boolean algebras ${\cal P}(\kappa)$, for a regular cardinal $\kappa$, and ${\cal C}(V)$ (the class of subclasses of the universe $V$), endowed with some ideals, especially the ideal $[\kappa]^{
Comment: 23 pages
Databáze: OpenAIRE
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