Transversal, T1-independent, and T1-complementary paratopological group topologies

نویسندگان

چکیده

We discuss the class of paratopological groups which admits a transversal, T 1 -independent and -complementary group topology. show that Sorgenfrey line does not admit Hausdorff topology, gives negative answer to [5, Problem 10] . give very useful criterion for transversality in term submaximal prove if non-discrete topology G contains central subgroup transversal then so introduce concept PT -sequence characterization an Abelian being determined by -sequence. As applications, we group, is endowed with strongest -sequence, on Finally, study countable -filter, obtain sufficient condition

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2021

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2021.107631