Bornologies and filters in selection principles on function spaces

Leandro Fiorini Aurichi; Renan Maneli Mezabarba

doi:10.1016/j.topol.2017.12.031

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arXiv · 1710.01651

Bornologies and filters in selection principles on function spaces

Leandro Fiorini Aurichi·Renan Maneli Mezabarba

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Abstract

We extend known results of selection principles in $C_p$-theory to the context of spaces of the form $C_{\mathcal{B}}(X)$, where $\mathcal{B}$ is a bornology on $X$. Particularly, by using the filter approach of Jordan to $C_p$-theory, we show that $\gamma$-productive spaces are productive with a larger class of $\gamma$-like spaces.

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BibTeX RIS

Leandro Fiorini Aurichi, Renan Maneli Mezabarba. 2017-10-04. Bornologies and filters in selection principles on function spaces. https://doi.org/10.1016/j.topol.2017.12.031

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