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Type: Article
Invariant Ideal Axiom
Abstract:
We introduce and prove the consistency of a new set theoretic axiom we call the Invariant Ideal Axiom. The axiom enables us to provide (consistently) a full topological classification of countable sequential groups, as well as fully characterize the behavior of their finite products. We also construct examples that demonstrate the optimality of the conditions in IIA and list a number of open questions.
We introduce and prove the consistency of a new set theoretic axiom we call the Invariant Ideal Axiom. The axiom enables us to provide (consistently) a full topological classification of countable sequential groups, as well as fully characterize the behavior of their finite products. We also construct examples that demonstrate the optimality of the conditions in IIA and list a number of open questions.
Journal: Forum of Mathematics, Sigma
ISSN: 2050-5094
Year: 2022
Volume: 10
Pages: e-29 1-18
Revision: 1
DOI: 10.1017/fms.2022.23
Notas: The research was supported by PAPIIT grants IN100317 and IN104220 and CONACyT grant A1-S-16164.
Created: 2022-06-16 10:37:02
Modified: 2022-06-16 10:37:26
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