Quasi-metrization and hereditary normality of compact bitopological spaces

Salvador Romaguera; Sergio Salbany

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 113-122
  • ISSN: 0010-2628

How to cite

top

Romaguera, Salvador, and Salbany, Sergio. "Quasi-metrization and hereditary normality of compact bitopological spaces." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 113-122. <http://eudml.org/doc/17815>.

@article{Romaguera1990,
author = {Romaguera, Salvador, Salbany, Sergio},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pairwise compact space; 2compact space; quasi-metric; hereditarily pairwise normal spaces; -diagonal; regular compact pseudometrizable spaces; metrization theorem; compact ordered spaces},
language = {eng},
number = {1},
pages = {113-122},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Quasi-metrization and hereditary normality of compact bitopological spaces},
url = {http://eudml.org/doc/17815},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Romaguera, Salvador
AU - Salbany, Sergio
TI - Quasi-metrization and hereditary normality of compact bitopological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 113
EP - 122
LA - eng
KW - pairwise compact space; 2compact space; quasi-metric; hereditarily pairwise normal spaces; -diagonal; regular compact pseudometrizable spaces; metrization theorem; compact ordered spaces
UR - http://eudml.org/doc/17815
ER -

References

top
  1. J. Chaber, Condition which imply compactness in countably compact spaces, Bull. Acad. Pol. Sci. Ser. Math. 24 (1976), 993-998. (1976) MR0515000
  2. I. E. Cooke I. L. Reilly, On bitopological compactness, J. London Math. Soc. 9 (1975), 518-522. (1975) MR0367936
  3. P. Fletcher H. B. Hoyle III C. W. Patty, The comparison of topologies, Duke Math. J. 30 (1969), 325-331. (1969) MR0242107
  4. P. Fletcher W. F. Lindgren, Quasi-Uniform Spaces, Marcel Dekker, New York, 1982. (1982) MR0660063
  5. G. Gruenhage, Generalized Metric Spaces, Handbook of Set-theoretic Topology, North-Holland, Amsterdam, (1984), 423-501. (1984) Zbl0555.54015MR0776629
  6. M. Katětov, Complete normality of Cartesian products, Fund. Math. 36 (1948), 271-274. (1948) MR0027501
  7. J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71-89. (1963) Zbl0107.16401MR0143169
  8. L. Nachbin, Topology and Order, Van Nostrand Math. Studies, Princeton, New Jersey, 1965. (1965) Zbl0131.37903MR0219042
  9. S. Romaguera A. Gutiérrez H. P. Künzi, Quasi-metrization of pairwise countably compact spaces, Glasnik Mat. 23 (43) (1988), 159-167. (1988) MR0976085
  10. S. Salbany, Bitopological Spaces, Compactificationa and Completions, Mathematical Monographs of the Univ. Cape Town. No. 1. 1974. (1974) 
  11. S. Salbany, A bitopological view of topology and order, Categorical Topology (Proc. Toledo, Ohio 1983), Heldermann, Berlin, (1984), 481-504. (1983) MR0785031
  12. P. Samuel, Ultrafilters and compactificationa of uniform apaces, Trans. Amer. Math. Soc. 64 (1948), 100-132. (1948) MR0025717
  13. M. K. Singal R. Singal, Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Bruxelles 84 (1970), 207-230. (1970) MR0267519
  14. V. Šneider, Continuous images of Souslin and Borel gets; metrixation theorems, Dokl. Acad. Nauk. USSR 80 (1945), 77-79. (1945) MR0053493

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.