Michael Spaces and Ultrafilters

Arturo Martínez-Celis

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arXiv · 2310.02749

Michael Spaces and Ultrafilters

Arturo Martínez-Celis

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Abstract

A Michael space is a Lindel\"of space which has a non-Lindel\"of product with the Baire space. In this work, we present the notion of Michael ultrafilter and we use it to construct a Michael space under the existence of a selective ultrafilter and $\max \{ \mathfrak{b}, \mathfrak{g} \} =\mathfrak{d}$.

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Arturo Martínez-Celis. 2023-10-04. Michael Spaces and Ultrafilters. https://arxiv.org/abs/2310.02749

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