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arXiv · 1808.06712

On cardinality bounds for $\theta^n$-Urysohn spaces

Fortunata Aurora Basile·Nathan Carlson·Jack Porter
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Abstract

We introduce the class of $\theta^{n}$-Urysohn spaces and the $n$-$\theta$-closure operator. $\theta^n$-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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Fortunata Aurora Basile, Nathan Carlson, Jack Porter. 2018-08-20. On cardinality bounds for $\theta^n$-Urysohn spaces. https://arxiv.org/abs/1808.06712

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