A. V. Osipov, “Different kinds of tightness of a functional space”, Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 3,Pages <nobr>192

This article is cited in 2 papers

Different kinds of tightness of a functional space

A. V. Osipov^ab

^a 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

Abstract: We study different kinds of tightness for the space $C(X)$ of continuous real-valued functions on a Tychonoff space $X$ with the set-open topology.

Keywords: set-open topology, tightness, fan tightness, strong fan tightness, $T$-tightness, set tightness, functional space.

UDC: 517.982.272+515.122.55

MSC: 54C30, 54C35, 54D65

Received: 04.03.2016

DOI: 10.21538/0134-4889-2016-22-3-192-199