{"paper":{"title":"A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Joseph Van Name","submitted_at":"2012-06-30T17:39:22Z","abstract_excerpt":"A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $\\lambda$ is a cardinal, then a non-Archimedean uniform space $(X,\\mathcal{U})$ is $\\lambda$-totally bounded if each equivalence relation in $\\mathcal{U}$ partitions $X$ into less than $\\lambda$ blocks. If $A$ is an infinite set, then let $\\Omega(A)$ be the algebra with universe $A$ and where each $a\\in A$ is a fundamental constant and every finitary function is a fundamental operation. We shall give a duality between complete non-Archimedean $|A|^{+}$-totally bounded uniform spaces and subdirect powe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0119","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"}