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first-countable; Fréchet-Urysohn; countably compact; closure-sensor; topological group; strong FU-sensor; pseudoopen mapping; side-base; $\omega $-Fréchet-Urysohn space

References:

[1] Arhangel'skii A.V.: **Structure and classification of topological spaces and cardinal invariants**. Russian Math. Surveys 33 (1978), 33–96. DOI 10.1070/RM1978v033n06ABEH003884 | MR 0526012

[2] Arhangel'skii A.V.: **Hurewicz spaces, analytic sets, and fan-tightness of function spaces**. Dokl. Akad. Nauk SSSR 287:3 (1986), 525–528; English translation: Soviet Math. Dokl. 33:2 (1986), 396–399. MR 0837289

[3] Arhangel'skii A.V., Bella A.: **Countable fan-tightness versus countable tightness**. Comment. Math. Univ. Carolin. 37:3 (1996), 565–576. MR 1426921

[4] Arhangel'skii A.V. Ponomarev V.I.: **Fundamentals of General Topology in Problems and Exercises**. Izdat. “Nauka”, Moscow, 1974, 423 pp. (in Russian); English translation: ser. Mathematics and its Applications, D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1984. xvi+415 pp.; Polish translation: Panstwowe Wydawnictwo Naukowe (PWN), Warsaw, 1986. 456 pp. MR 0785749

[5] Arhangel'skii A.V. Tkachenko M.G.: **Topological Groups and Related Structures**. Atlantis Press, Amsterdam-Paris, 2008. MR 2433295

[6] Engelking R.: **General Topology**. Sigma Series in Pure Mathematics, 6, Heldermann, Berlin, revised ed., 1989. MR 1039321 | Zbl 0684.54001

[7] Michael E.A.: **A quintuple quotient quest**. General Topology Appl. 2 (1972), 91–138. DOI 10.1016/0016-660X(72)90040-2 | MR 0309045 | Zbl 0238.54009

[8] Nyikos P.J.: **Subsets of $\omega ^{\omega }$ and the Fréchet-Urysohn and $\alpha _i$-properties**. Topology Appl. 48 (1992), 91–116. DOI 10.1016/0166-8641(92)90021-Q | MR 1195504