Displaying similar documents to “On jointly somewhat nearly continuous functions.”

Sums of quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.

Weak continuity properties of topologized groups

J. Cao, R. Drozdowski, Zbigniew Piotrowski (2010)

Czechoslovak Mathematical Journal

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We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if ( G , · , τ ) is a regular right (left) semitopological group with dev ( G ) < Nov ( G ) such that all left (right) translations are feebly continuous, then ( G , · , τ ) is a topological group. This extends several results in literature.