The Reznichenko Property and the Pytkeev Property in Hyperspaces
نویسنده
چکیده
We investigate two closure-type properties, the Reznichenko property and the Pytkeev property, in hyperspace topologies.
منابع مشابه
On the Pytkeev Property in Spaces of Continuous Functions
Answering a question of Sakai, we show that the minimal cardinality of a set of reals X such that Cp(X) does not have the Pytkeev property is equal to the pseudo-intersection number p. Our approach leads to a natural characterization of the Pytkeev property of Cp(X) by means of a covering property of X, and to a similar result for the Reznichenko property of Cp(X).
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