Absolute $F_{\sigma\delta}$ spaces

Ond\v{r}ej Kalenda; Vojt\v{e}ch Kova\v{r}\'ik

arxiv: 1703.03066 · v1 · pith:GNVMAPYUnew · submitted 2017-03-08 · 🧮 math.GN

Absolute F_(σδ) spaces

Vojt\v{e}ch Kova\v{r}\'ik , Ond\v{r}ej Kalenda This is my paper

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keywords deltasigmaabsolutelyspaceabsolutebanachcompactificationequipped

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We prove that hereditarily Lindel\"of 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.

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Absolute F_(σδ) spaces

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