H-closed Spaces and H-sets in the Convergence Setting

John Reynolds

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arXiv · 1510.08044

H-closed Spaces and H-sets in the Convergence Setting

John Reynolds

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Abstract

We use convergence theory as the framework for studying H-closed spaces and H-sets in topological spaces. From this viewpoint, it becomes clear that the property of being H-closed and the property of being an H-set in a topological space are pretopological notions. Additionally, we define a version of H-closedness for pretopological spaces and investigate the properties of such a space.

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BibTeX RIS

John Reynolds. 2015-10-27. H-closed Spaces and H-sets in the Convergence Setting. https://arxiv.org/abs/1510.08044

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