Tightness in products of fans and psuedo-fans

Given a Hausdorff space X, we calculate the tightness and the character of the hyperspace CL∅(X) of X, endowed with either the co-compact or the lower Vietoris topology, and give some estimates for the tightness of CL∅(X), endowed with the Fell topology.\ud \ud Some properties related to first-countability and countable tightness, such as sequentiality, Fréchet property and, less directly, radiality and pseudoradiality, are investigated as well.\ud \ud To carry out our investigation, we also consider on the base space X several cardinal functions, and we compare some of them (which are newly defined or not so well known) with other classical ones, obtaining results and counterexamples which may be of some independent interest

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Tightness, character and related properties of hyperspace topologies

Costantini

Holá

Vitolo

2004

Topology and its Applications

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Characters of ultrafilters and tightness of products of fans

Hušek

2007

Topology and its Applications

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The tightness about sequential fans and combinatorial properties

Eda

Kada

Yuasa

1997

J. Math. Soc. Japan

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Tightness in products of fans and psuedo-fans

Cited by 3 publications

References 14 publications

Tightness, character and related properties of hyperspace topologies

Tightness, character and related properties of hyperspace topologies

Characters of ultrafilters and tightness of products of fans

The tightness about sequential fans and combinatorial properties

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