{"paper":{"title":"Short note on Smithson's paper concerning Arzel\\`a-Ascoli theorem for multifunctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mateusz Krukowski","submitted_at":"2016-08-15T11:11:18Z","abstract_excerpt":"As indicated in the title, this paper was inspired by Smithson's work on Arzel\\`a-Ascoli theorem. Up to this point, the author's interest in the topic has led him to generalize Arzel\\`a-Ascoli theorem in the context of uniform spaces. This approach was primarily influenced by J.L. Kelley's \\textit{General topology}. Soon after, the author learnt that in 1971, R.E. Smithson carried over Kelley's approach to the case of point-compact multifunctions (rather than single-valued functions). Similarly, in this paper the author would like to carry over the result, presented in his previous paper \\text"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04235","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"}