The cardinal characteristic for relative gamma-sets
| dc.creator | Miller, Arnold W. | |
| dc.date | 2004-05-25 | |
| dc.date.accessioned | 2026-07-07T05:08:33Z | |
| dc.date.available | 2026-07-07T05:08:33Z | |
| dc.description | For $X$ a separable metric space define $\pp(X)$ to be the smallest cardinality of a subset $Z$ of $X$ which is not a relative $\ga$-set in $X$, i.e., there exists an $\om$-cover of $X$ with no $\ga$-subcover of $Z$. We give a characterization of $\pp(2^\om)$ and $\pp(\om^\om)$ in terms of definable free filters on $\om$ which is related to the psuedointersection number $\pp$. We show that for every uncountable standard analytic space $X$ that either $\pp(X)=\pp(2^\om)$ or $\pp(X)=\pp(\om^\om)$. We show that both of following statements are each relatively consistent with ZFC: (a) $\pp=\pp(\om^\om) < \pp(2^\om)$ and (b) $\pp < \pp(\om^\om) =\pp(2^\om)$ | |
| dc.identifier | https://arxiv.org/abs/math/0405473 | |
| dc.identifier | http://arxiv.org/abs/math/0405473 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71310 | |
| dc.subject | Logic | |
| dc.subject | General Topology | |
| dc.subject | 03E35 54D20 03E50 | |
| dc.title | The cardinal characteristic for relative gamma-sets | |
| dc.type | text |