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On weakly bisequential spaces. (English) Zbl 1038.54004
Bisequential spaces were introduced by A. V. Arhangel’skii [Trans. Mosc. Math. Soc. 55, 207–219 (1994; Zbl 0842.54004)]. Some typical results from the reviewed paper: (2.1) Weakly bisequential spaces coincide with weakly bi-quotient images of metrizable spaces. (2.4) There are two compact weakly bisequential spaces the product of which is not Fréchet-Urysohn. (2.6) A Fréchet-Urysohn weakly quasi-first countable space is weakly bisequential. (2.7) A space is weakly bisequential if it is weakly quasi-first countable and \(\alpha _4\).

MSC:
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54D55 Sequential spaces
Citations:
Zbl 0842.54004
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