{"paper":{"title":"Epireflective subcategories of Top, $T_2$Unif, Unif, closed under epimorphic images, or being algebraic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.CT","authors_text":"E. Makai Jr","submitted_at":"2014-07-04T12:56:42Z","abstract_excerpt":"The epireflective subcategories of ${\\bold{Top}}$, that are closed under epimorphic (or bimorphic) images, are $\\{X \\mid |X| \\le 1 \\} $, $\\{X \\mid X$ is indiscrete$\\} $ and ${\\bold{Top}}$. The epireflective subcategories of ${\\bold{T_2Unif}}$, closed under epimorphic images, are: $\\{X \\mid |X| \\le 1 \\} $, $\\{X \\mid X$ is compact $T_2 \\} $, $\\{X \\mid $ covering character of $X$ is $ \\le \\lambda_0 \\} $ (where $\\lambda_0$ is an infinite cardinal), and ${\\bold{T_2Unif}}$. The epireflective subcategories of ${\\bold{Unif}}$, closed under epimorphic (or bimorphic) images, are: $\\{X \\mid |X| \\le 1 \\} "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1210","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"}