{"paper":{"title":"Strong c-algebrability of strong Sierpi\\'nski-Zygmund, smooth nowhere analytic and other sets of functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.RA","authors_text":"Artur Bartoszewicz, Malgorzata Filipczak, Marek Bienias, Szymon Glab","submitted_at":"2013-07-01T11:05:25Z","abstract_excerpt":"We present a useful technique of proving strong $\\mathfrak{c}$-algebrability. As an outcome we obtain the strong $\\mathfrak{c}$-algebrability of the following sets of functions: strong Sierpi\\'nski-Zygmund, nowhere H\\\"older, Bruckner-Garg, nowhere monotone differentiable, a certain Baire class, smooth and nowhere analytic functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0331","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"}