Geodesic
Different kinds of tightness on the space of Baire-one functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 29 (2023) no. 1, pp. 160-166 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study different kinds of tightness of the space $B_1(X)$ of Baire-one real-valued functions defined on a topological space $X$ with the topology of pointwise convergence.
Keywords: tightness, fan tightness, strongly fan tightness, $T$-tightness, set-tightness, function space. 
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A. V. Osipov. Different kinds of tightness on the space of Baire-one functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 29 (2023) no. 1, pp. 160-166. http://geodesic.mathdoc.fr/item/TIMM_2023_29_1_a11/

[1] Arkhangelskii A.V., Topologicheskie prostranstva funktsii, Izd-vo MGU, M., 1989, 222 pp.

[2] Osipov A.V., “Razlichnye vidy tesnoty funktsionalnogo prostranstva”, Tr. In-ta matematiki i mekhaniki UrO RAN, 22:3 (2016), 192–199 | DOI | MR

[3] Pestryakov A.V., “O prostranstvakh berovskikh funktsii”, Issledovaniya po teorii vypuklykh mnozhestv i grafov, 82, Akad. Nauk SSSR, Uralskii nauchnyi tsentr, Sverdlovsk, 1987, 53–59 | MR

[4] Osipov A.V., “On generalization of theorems of Pestryakov”, Topol. Appl., 283 (2020), 107399 | DOI | MR | Zbl

[5] Juhász I., “Variations on tightness”, Studia Sci. Math. Hangar., 1989, no. 24, 179–186 | MR | Zbl

[6] Arhangel'skii A.V., Isler R., Tironi G., “On pseudo radial spaces”, Comment. Math. Univ. Carolin, 1986, no. 27, 137–154 URL: http://dml.cz/dmlcz/106435 | MR | Zbl

[7] Lukes̆ J., Malý ., Zajic̆ek L., Fine topology methods in real analysis and potential theory, Lecture Notes in Mathematics, 1189, Springer, Berlin, 1986 | DOI | MR | Zbl

[8] Kalenda O.F.K., Spurný J., “Extending Baire-one functions on topological spaces”, Topol. Appl., 149:1-3 (2005), 195–216 | DOI | MR | Zbl

[9] Sakai M., “Variations on tightness in function spaces”, Topol. Appl., 101:3 (2000), 273–280 | DOI | MR | Zbl