{"paper":{"title":"New separation axioms in generalized bitopological spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Amar Kumar Banerjee, Jagannath Pal","submitted_at":"2018-10-12T07:52:59Z","abstract_excerpt":"Here we have studied on the ideas of $g_{\\mu_i}$ and $\\lambda_{\\mu_i}$-closed sets with respect to ${\\mu_j}(i,j=1,2,i\\not=j)$ and pairwise $ \\lambda $-closed sets in a generalized bitopological space $ (X,\\mu_1, \\mu_2) $. We have also investigated the properties on some new separation axioms namely pairwise $ T_\\frac{1}{4}$, pairwise $T_\\frac{3}{8}$, pairwise $ T_\\frac{5}{8} $ and have established their mutual relations with pairwise $ T_0 $, pairwise $ T_\\frac{1}{2} $ and pairwise $ T_1 $. We have also shown that under certain conditions these axioms are equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05390","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"}