Ke Li
Abstract
In this paper we prove that the space X having σ compact finit K network,Then X is an X 0 space if any subset of X with cardinality ω 1 is a sequential separable.That result improve Theorem 1 in[1].Also,we show that the existence of Star countable K network is preserved by the closed mappings under some conditions.
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In this paper we prove that the space X having σ compact finit K network,Then X is an X 0 space if any subset of X with cardinality ω 1 is a sequential separable.That result improve Theorem 1 in[1].Also,we show that the existence of Star countable K network is preserved by the closed mappings under some conditions.
Key concepts: Cardinality (data modeling), Countable set, Separable space, Star (game theory), Space (punctuation), Mathematics, Cosmic space, Discrete mathematics