Quasi-uniform completions of partially ordered spaces

David Buhagiar; Tanja Telenta

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [189]-200
  • ISSN: 0232-0525

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Buhagiar, David, and Telenta, Tanja. "Quasi-uniform completions of partially ordered spaces." Mathematica Slovaca 57.2 (2007): [189]-200. <http://eudml.org/doc/34639>.

@article{Buhagiar2007,
author = {Buhagiar, David, Telenta, Tanja},
journal = {Mathematica Slovaca},
keywords = {partially ordered set; quasi uniform space; uniform completion; uniform bicompletion},
language = {eng},
number = {2},
pages = {[189]-200},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Quasi-uniform completions of partially ordered spaces},
url = {http://eudml.org/doc/34639},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Buhagiar, David
AU - Telenta, Tanja
TI - Quasi-uniform completions of partially ordered spaces
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [189]
EP - 200
LA - eng
KW - partially ordered set; quasi uniform space; uniform completion; uniform bicompletion
UR - http://eudml.org/doc/34639
ER -

References

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  1. BUHAGIAR D.-MIWA T., Ordered uniform completions of GO-spaces, Topology Proc. 22 (1997), 59-80. (1997) Zbl0918.54026MR1657902
  2. ENGELKING R., General Topology, (rev. ed.), Heldermann, Berlin, 1989. (1989) Zbl0684.54001MR1039321
  3. ERNÉ M., Topologies on products of partially ordered sets I: Interval topologies, Algebra Universalis 11 (1980), 295-311. (1980) Zbl0454.06009MR0602017
  4. ERNÉ M., Topologies on products of partially ordered sets II: Ideal topologies, Algebra Universalis 11 (1980), 312-319. (1980) Zbl0453.06015MR0602018
  5. ERNÉ M., Topologies on products of partially ordered sets III: Order convergence and order tologies, Algebra Universalis 13 (1981), 1-23. (1981) MR0631406
  6. ERNÉ M., Ideal completions and compactifications, Appl. Categ. Structures 9 (2001), 217-243. Zbl0989.54027MR1836252
  7. ERNÉ M.-PALKO V., Uniform ideal completions, Math. Slovaca 48 (1998), 327-335. (1998) Zbl0960.06002MR1693533
  8. FLETCHER P.-LINDGREN W. F., Quasi-Uniform Spaces, Lecture Notes in Pure and Appl. Math. 77, Marcel Dekker, New York-Basel, 1982. (1982) Zbl0501.54018MR0660063
  9. FLETCHER P.-LINDGREN W. F., A theory of uniformities for generalized ordered spaces, Canad. J. Math. 31 (1979), 35-44. (1979) Zbl0402.54036MR0518703
  10. GANTNER T. E.-STEINLAGE R. C., Characterizations of quasi-uniformities, J. London Math. Soc. (2) 5 (1972), 48-52. (1972) Zbl0241.54023MR0380741
  11. KELLEY J. L., General Topology, Van Nostrand, New York, 1995. (1995) MR0070144
  12. KÜNZI H.-P. A., Quasi-uniform spaces, In: Encyclopedia of General Topology (K. P. Hart, J. Nagata, J. E. Vaughan, eds.), Elsevier Science Publishers B.V., Amsterdam, 2004, pp. 266-270. Zbl1193.54014
  13. KÜNZI H.-P. A., Quasi-uniform spaces in the year 2001, In: Recent Progress in General Topology II (M. Hušek, J. van Mill, eds.), Elsevier Science Publishers B.V., Amsterdam, 2002, pp. 313-344. Zbl1028.54026MR1970003
  14. NAGATA J., Modern General Topology, (rev. ed.), North Holland, Amsterdam, 1985. (1985) Zbl0598.54001MR0831659

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