MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some properties of semi-continuous functions and quasi-uniform spaces
J. Ferrer, V. Gregori and I. L. Reilly

Abstract

This paper approaches the problem of characterizing the topological spaces that admit a unique compatible quasi-uniform structure by means of semi-continuous functions. The desired result is achieved by relating properties of the semi-continuous quasi-uniformity with a new characterization of hereditarily compact spaces via lower semi-continuous functions.

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Keywords: Semi-continuous function, quasi-uniform space, hereditarily compact space.

MSC: 54E35, 54E55

Pages:  11--18     

Volume  47 ,  Issue  1$-$2 ,  1995