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On cardinality bounds for $θ^n$-Urysohn spaces (1808.06712v1)

Published 20 Aug 2018 in math.GN

Abstract: We introduce the class of $\theta{n}$-Urysohn spaces and the $n$-$\theta$-closure operator. $\thetan$-Urysohn spaces generalize the notion of a Urysohn space. We estabilish bounds on the cardinality of these spaces and cardinality bounds if the space is additionally homogeneous.

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