# A note on δ-strongly compact cardinals

## 抄録

In this paper we investigate more characterizations and applications of δ-strongly compact cardinals. We show that, for a cardinal κ, the following are equivalent: (1) κ is δ-strongly compact, (2) For every regular λ≥κ there is a δ-complete uniform ultrafilter over λ, and (3) Every product space of δ-Lindelöf spaces is κ-Lindelöf. We also prove that in the Cohen forcing extension, the least ω1-strongly compact cardinal is an exact upper bound on the tightness of the products of two countably tight spaces.

本文言語 English 107538 Topology and its Applications https://doi.org/10.1016/j.topol.2020.107538 Accepted/In press - 2020

• 幾何学とトポロジー

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