Some properties of semi-continuous functions and quasi-uniform spaces

Authors

  • J. Ferrer Dpt. Análisis Matemático, Facultad De Matematicas, 46100 BURJASOT (Valencia), SPAIN Author
  • V. Gregori E.U. Informatica, Universidad Politecnica De Valencia, Aptdo. 22012, 46071 VALENCIA, SPAIN Author
  • I. L. Reilly Department of Mathematics and Statistics, University of Auckland, Private Bag, AUCKLAND, NEW ZEALAND Author

Keywords:

Semi-continuous function, quasi-uniform space, hereditarily compact space

Subjects:

54E35, 54E55

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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Published

1995-04-15

Issue

Vol. 47 No. 1–2 (1995): Vol. 47, Issue 1–2

Section

Articles

License

Copyright (c) 1995 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.