Kadirhan Polat, Tamer Ugur (2015)
Open Mathematics
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In the paper we show that net weight and conet weight equal each other in any complemented ditopological space, and investigate under which conditions pseudo character and copseudo character equal each other. We give some important results “bounding" the set Q of all q-sets in (a particular subclass of) the class of all ditopological texture spaces.
Brad Bailey (2007)
Commentationes Mathematicae Universitatis Carolinae
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Ram’ırez-Páramo proved that under GCH for the class of compact Hausdorff spaces i-weight reflects all cardinals [, Topology Proc. (2004), no. 1, 277–281]. We show that in ZFC i-weight reflects all cardinals for the class of compact LOTS. We define local i-weight, then calculate i-weight of locally compact LOTS and paracompact spaces in terms of the extent of the space and the i-weight of open sets or the local i-weight. For locally compact LOTS we find a necessary and sufficient condition...
Vladimir Tkachuk (2012)
Open Mathematics
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Given a topological property P, we study when it reflects in small continuous images, i.e., when for some infinite cardinal κ, a space X has P if and only if all its continuous images of weight less or equal to κ have P. We say that a cardinal invariant η reflects in continuous images of weight κ + if η(X) ≤ κ provided that η(Y) ≤ κ whenever Y is a continuous image of X of weight less or equal to κ +. We establish that, for any infinite cardinal κ, the spread, character, pseudocharacter...
Juhász, I.
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Aleksander V. Arhangel'skii, Romano Isler, Gino Tironi (1986)
Commentationes Mathematicae Universitatis Carolinae
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W. Piotrowski (1987)
Applicationes Mathematicae
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