Representing cliquish functions as quasiuniform limits of quasicontinuous functions

by    C. Richter

Preprint series: 01-06, Reports on Analysis

The paper is published: Real Anal. Exchange (to appear)

54C08 Weak and generalized continuity

Abstract: It is shown that every cliquish function $f$ mapping a
pseudometrizable space $X$ into a separable metric space $Y$
can be expressed as the quasiuniform limit of a sequence of
quasicontinuous functions $f_k$.

Keywords: cliquish function, quasicontinuous function, pointwise limit, quasiuniform limit, pseudometrizable space, separable metric space, Baire space

Upload: 2001-03-02

Update: 2001-08-28

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