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Weak continuity properties of topologized groups

J. CaoR. DrozdowskiZbigniew Piotrowski — 2010

Czechoslovak Mathematical Journal

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.

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