2 problems

0 votes0 replies0 views
Nonexistence of $(1,\omega)$ -weakly universal functions under a cardinal-invariant hypothesis
A function $U:[\omega_{1}]^{2}\longrightarrow\omega$ is $(1,\omega)$ -weakly universal if for every function $F:[\omega_{1}]^{2}\longrightarrow\omega$ there are an injective functio…
Conjectureopencardinal-invariants set-theory universal-functionsarXiv posted 2 days ago
0 votes0 replies0 views
Nestoridis's universality conjecture for Taylor partial sums with varying centres
Nestoridis's conjecture. The set $S(\Omega)$ is a dense $G_\delta$ subset of $\mathcal{H}(\Omega)$ .
Conjectureopencomplex-analysis taylor-series universal-functionsarXiv posted 2 days ago

Nonexistence of (1,ω)(1,\omega)(1,ω)-weakly universal functions under a cardinal-invariant hypothesis