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

General Topology 2018-08-22 v1

Abstract

We introduce the class of θn\theta^{n}-Urysohn spaces and the nn-θ\theta-closure operator. θn\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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Cite

@article{arxiv.1808.06712,
  title  = {On cardinality bounds for $\theta^n$-Urysohn spaces},
  author = {Fortunata Aurora Basile and Nathan Carlson and Jack Porter},
  journal= {arXiv preprint arXiv:1808.06712},
  year   = {2018}
}

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14 pages