{"paper":{"title":"Compact maps and quasi-finite complexes","license":"","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GT","authors_text":"A. Vavpetic, J. Dydak, J. Smrekar, M. Cencelj, Z. Virk","submitted_at":"2006-08-30T08:30:26Z","abstract_excerpt":"The simplest condition characterizing quasi-finite CW complexes $K$ is the implication $X\\tau_h K\\implies \\beta(X)\\tau K$ for all paracompact spaces $X$. Here are the main results of the paper:\n  Theorem: If $\\{K_s\\}_{s\\in S}$ is a family of pointed quasi-finite complexes, then their wedge $\\bigvee\\limits_{s\\in S}K_s$ is quasi-finite.\n  Theorem: If $K_1$ and $K_2$ are quasi-finite countable complexes, then their join $K_1\\ast K_2$ is quasi-finite.\n  Theorem: For every quasi-finite CW complex $K$ there is a family $\\{K_s\\}_{s\\in S}$ of countable CW complexes such that $\\bigvee\\limits_{s\\in S} K"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608748","kind":"arxiv","version":3},"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"}