{"paper":{"title":"Metrizable DH-spaces of the first category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Sergey Medvedev","submitted_at":"2014-01-30T19:40:36Z","abstract_excerpt":"We show that if a separable space X has a meager open subset containing a copy of the Cantor set 2^\\omega, then X has $\\frak{c}$ types of countable dense subsets. We suggest a generalization of the \\lambda-set for non-separable spaces. Let X be an h-homogeneous \\Lambda-set. Then X is densely homogeneous and (X \\setminus A) is homeomorphic to X for every \\sigma-discrete A \\subset X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7964","kind":"arxiv","version":2},"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"}