We give a negative answer to a question of Malesic and Repovs, about continuous selections of the modulus of continuity. We also provide a shorter proof for a theorem of the same authors, which generalizes a classical result about continuous dependence of delta ori epsilon in the definition of continuous function.
Continuous dependence of delta on epsilon as a selection property
MARCONI, UMBERTO
2005
Abstract
We give a negative answer to a question of Malesic and Repovs, about continuous selections of the modulus of continuity. We also provide a shorter proof for a theorem of the same authors, which generalizes a classical result about continuous dependence of delta ori epsilon in the definition of continuous function.
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