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Дата последнего поиска статьи во внешних источниках: 20 февраля 2024 г.
Аннотация:A class of almost paratopological groups is introduced, which (1) contains paratopological groups and Hausdorff quasitopological groups; (2) is closed under products; (3) subgroups. Almost paratopological T1 groups G are characterized by the fact that {(x, y) ∈ G2 : xy = e} is closed in G2 . A compact almost paratopological group is topological. A regular Σ-space with countable extend and a separately continuous Mal’tsev operation is ω-cellular (and ccc).A σ-compact regular almost paratopological group is ccc. In particular, a σ-compact regular quasitopological group is ccc.