Absolute $F_{\sigma \delta }$ spaces

Abstract

We prove that hereditarily Lindelöf space which is $F_{\sigma \delta }$ in some compactification is absolutely $F_{\sigma \delta }$. In particular, this implies that any separable Banach space is absolutely $F_{\sigma \delta }$ when equipped with the weak topology.

References in corpus (1)

• Absolute $\mathcal{F}$-Borel classes

Cited by in corpus (3)

• Characterizations of weakly $\mathcal{K}$-analytic and Vašák spaces using projectional skeletons and separable PRI
• Absolute $\mathcal{F}$-Borel classes
• Absolute and non-absolute $\mathcal{F}$-Borel spaces