Compact pospaces

Venu G. Menon

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 4, page 741-744
  • ISSN: 0010-2628

Abstract

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Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.

How to cite

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Menon, Venu G.. "Compact pospaces." Commentationes Mathematicae Universitatis Carolinae 44.4 (2003): 741-744. <http://eudml.org/doc/249196>.

@article{Menon2003,
abstract = {Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.},
author = {Menon, Venu G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology; compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology},
language = {eng},
number = {4},
pages = {741-744},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Compact pospaces},
url = {http://eudml.org/doc/249196},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Menon, Venu G.
TI - Compact pospaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 4
SP - 741
EP - 744
AB - Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
LA - eng
KW - compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology; compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology
UR - http://eudml.org/doc/249196
ER -

References

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  1. Gierz G., Hofmann K.H., Keimel K., Lawson J.D., Mislove M., Scott D.S., A Compendium of Continuous Lattices, Springer-Verlag, Berlin, Heidelberg, and New York, 1980. Zbl0452.06001MR0614752
  2. Gierz G., Lawson J.D., Generalized continuous and hypercontinuous lattices, Rocky Mountain J. Math. 11 (1981), 271-296. (1981) Zbl0472.06014MR0619676
  3. Gierz G., Lawson J.D., Stralka A., Quasicontinuous posets, Houston J. Math 9 (1983), 191-208. (1983) Zbl0529.06002MR0703268
  4. Lawson J.D., The upper interval topology, property M, and compactness, Electronic Notes in Theoret. Comput. Sci. 13 (1998). (1998) MR1677497
  5. Raney G.N., A subdirect-union representation for completely distributive complete latices, Proc. Amer. Math Soc. 4 (1953), 518-522. (1953) MR0058568
  6. Rudin M.E., Directed sets which converge, Proc. Riverside Symposium on Topology and Modern Analysis, 1980, pp.305-307. Zbl0457.04007MR0619055
  7. Venugopalan P., A generalization of completely distributive lattices, Algebra Universalis 27 (1990), 578-586. (1990) Zbl0722.06003MR1387903

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