On cardinality bounds for θⁿ-Urysohn spaces

2018/08/20 by Basile, Fortunata Aurora, Carlson, Nathan, Porter, Jack · 1 citation
#54A25 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1808.06712

Abstract

We introduce the class of θⁿ-Urysohn spaces and the n-θ-closure operator. θⁿ-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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