Affiliation:
1. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
2. University of Patras, Department of Mathematics, Patras, Greece
Abstract
In this paper, we prove facts and properties on ?-bounded spaces, which are
introduced in [10]. More precisely, we prove that an arbitrary product of
?-bounded spaces is ? bounded and vice versa, and that the ?-bounded
property is preserved by ?-continuous maps. In particular, continuous maps
preserve ?-bounded spaces. Moreover, we investigate the behavior of the
minimal tightness and functional tightness of topological spaces under the
influence of an exponential functor of finite degree. It is proved that this
functor preserves the functional tightness and the minimal tightness of
compact sets.
Publisher
National Library of Serbia
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