A. V. Osipov, “Different kinds of tightness on the space of Baire-one functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 2023, Volume 29, Number 1,Pages <nobr>160

Different kinds of tightness on the space of Baire-one functions

A. V. Osipov^abc

^a N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^c Ural State University of Economics, Ekaterinburg

Abstract: 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.

UDC: 517.982.272+515.122.55

MSC: 54C30, 54C35, 54D65

Received: 17.10.2022
Revised: 02.02.2023
Accepted: 06.02.2023

DOI: 10.21538/0134-4889-2023-29-1-160-166