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Ordered compactifications and families of maps

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  • D. M. Liu
  • D. C. Kent

Abstract

For a T 3.5 -ordered space, certain families of maps are designated as defining families. For each such defining family we construct the smallest T 2 -ordered compactification such that each member of the family can be extended to the compactification space. Each defining family also generates a quasi-uniformity on the space whose bicompletion produces the same T 2 -ordered compactification.

Suggested Citation

  • D. M. Liu & D. C. Kent, 1997. "Ordered compactifications and families of maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-6, January.
  • Handle: RePEc:hin:jijmms:343704
    DOI: 10.1155/S016117129700015X
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