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Extension of the preimage-disconnectedness theorem to locally omitted values
Extension conjecture. If $a$ is locally omitted by $f$ , then $f^{-1}(D)$ is disconnected. Moreover, if $f$ has a completely invariant domain $D$ , then every locally omitted value b…
Conjectureopencomplex-dynamics entire-functions singularities-of-inverse-functionsarXiv posted 2 days ago

Extension of the preimage-disconnectedness theorem to locally omitted values