Products of Lindel\"of spaces with points $G_\delta$

TL;DR

Under certain set-theoretic assumptions, the paper constructs Lindel"of spaces with points $G_\

Contribution

It demonstrates the existence of Lindel"of spaces with points $G_\

Findings

Existence of Lindel"of spaces with product complexity greater than continuum.

Construction relies on CH, $\

paper_type":"empirical"}]}# Note: The abstract is highly technical and set-theoretic, so the summary focuses on the main mathematical result and context. The

Abstract

We show that if CH holds and either (i) there exists an $\omega_1$-Kurepa tree, or (ii) $\square(\omega_2)$ holds, then there are regular $T_1$ Lindel\"of spaces $X_0$ and $X_1$ with points $G_\delta$ such that $e(X_0 \times X_1)>2^\omega$.