{"paper":{"title":"Selective game versions of countable tightness with bounded finite selections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GN","authors_text":"Angelo Bella, Leandro F. Aurichi, Rodrigo R. Dias","submitted_at":"2016-03-31T18:50:22Z","abstract_excerpt":"For a topological space $X$ and a point $x \\in X$, consider the following game -- related to the property of $X$ being countably tight at $x$. In each inning $n\\in\\omega$, the first player chooses a set $A_n$ that clusters at $x$, and then the second player picks a point $a_n\\in A_n$; the second player is the winner if and only if $x\\in\\overline{\\{a_n:n\\in\\omega\\}}$.\n  In this work, we study variations of this game in which the second player is allowed to choose finitely many points per inning rather than one, but in which the number of points they are allowed to choose in each inning has been"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09715","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}