Geodesic
Invariant Ideal Axiom
Forum of Mathematics, Sigma, Tome 10 (2022)

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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. 
@article{10_1017_fms_2022_23,
     author = {Michael Hru\v{s}\'ak and Alexander Shibakov},
     title = {Invariant {Ideal} {Axiom}},
     journal = {Forum of Mathematics, Sigma},
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Michael Hrušák; Alexander Shibakov. Invariant Ideal Axiom. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.23

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