Non-meager $P$-filters are Countable Dense Homogeneous

arxiv: 1809.06814 · v1 · pith:IHHF3ASOnew · submitted 2018-09-18 · 🧮 math.GN

Non-meager P-filters are Countable Dense Homogeneous

Rodrigo Hern\'andez-Guti\'errez , Michael Hru\v{s}\'ak This is my paper

classification 🧮 math.GN

keywords mathcalcountabledensehomogeneousnon-meagerfilterfiltersomega

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We prove that if $\mathcal{F}$ is a non-meager $P$-filter, then both $\mathcal{F}$ and ${}^\omega\mathcal{F}$ are countable dense homogeneous spaces.

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