Projectively first-countable semitopological groups

摘要

We show that a regular semitopological group G is projectively regular first countable if and only if G is w-balanced, locally w-good and Ir(G) <= w. Similarly, we give an internal characterization of projectively T-i first-countable semitopological groups, for i = 0, 1, 2. (C) 2016 Elsevier B.V. All rights reserved.