On simultaneous linear extensions of partial (pseudo)metrics

Mathematics – General Topology

Scientific paper

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10 pages

Scientific paper

We consider the question of simultaneous extension of (pseudo)metrics defined
on nonempty closed subsets of a compact metrizable space. The main result is a
counterpart of the result due to K\"unzi and Shapiro for the case of extension
operators of partial continuous functions and includes, as a special case,
Banakh's theorem on linear regular operators extending (pseudo)metrics.

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