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arXiv · 2301.08867

On totally Lindel\"of spaces

Gabriel Fernandes·Guilherme Pinto·Vinícius Rocha
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Abstract

The results in this paper answer three questions asked by (NOBLE, 2019) and give a partial answer to a question asked by (ALSTER, 1988). We prove that every Alster space is totally Lindelof and this gives a new characterization of regular Alster spaces. We construct a non-regular totally Lindelof space that is not Alster and we prove that there exists a Lindelof P-space that is not Frolik.

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Gabriel Fernandes, Guilherme Pinto, Vinícius Rocha. 2023-01-21. On totally Lindel\"of spaces. https://arxiv.org/abs/2301.08867

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