The counterparts of some cardinal functions in bitopological spaces. I.

Murat Diker

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 3, page 237-245
  • ISSN: 0862-7959

Abstract

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This is the first in a series of papers aimed at defining and studying bitopological counterparts of the principal cardinal invariants in topology. It is devoted to study of analogues of the functions weight, density and cellularity.

How to cite

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Diker, Murat. "The counterparts of some cardinal functions in bitopological spaces. I.." Mathematica Bohemica 120.3 (1995): 237-245. <http://eudml.org/doc/247801>.

@article{Diker1995,
abstract = {This is the first in a series of papers aimed at defining and studying bitopological counterparts of the principal cardinal invariants in topology. It is devoted to study of analogues of the functions weight, density and cellularity.},
author = {Diker, Murat},
journal = {Mathematica Bohemica},
keywords = {biweight; bidensity; quasi-regular density; bicellularity; biweight; bidensity; quasi-regular density; bicellularity},
language = {eng},
number = {3},
pages = {237-245},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The counterparts of some cardinal functions in bitopological spaces. I.},
url = {http://eudml.org/doc/247801},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Diker, Murat
TI - The counterparts of some cardinal functions in bitopological spaces. I.
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 3
SP - 237
EP - 245
AB - This is the first in a series of papers aimed at defining and studying bitopological counterparts of the principal cardinal invariants in topology. It is devoted to study of analogues of the functions weight, density and cellularity.
LA - eng
KW - biweight; bidensity; quasi-regular density; bicellularity; biweight; bidensity; quasi-regular density; bicellularity
UR - http://eudml.org/doc/247801
ER -

References

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  1. L. M. Brown, Dual Covering Theory, Confluence Structures and the Lattice of Bicontinuous Functions, Ph.D.Thesis Univ. of Glasgow, 1980. (1980) 
  2. M. Diker, Cardinal Functions in Bitopological spaces, Ph. D. Thesis Univ. of Hacettepe, Ankara, 1991. (1991) 
  3. I. Juhász, Cardinal Functions in Topology, Math. Center Tracts No. 34, Math. Centrum, Amsterdam, 1971. (1971) MR0340021
  4. I. Juhász, Cardinal Functions in Topology Ten Years Later, Math. Center Tracts No. 123, Math. Centrum, Amsterdam, 1980. (1980) MR0576927
  5. R. D. Kopperman P. R. Meyer, Cardinal invariants of bitopological spaces, Časopis pro pěstování matematiky 114 (1989), no. 4, 374-380. (1989) MR1027233
  6. M. J. Saegrove, Pairwise complete regularity and compactification in bitopological spaces, J. London Math. Soc. 7 (1973), no. 2, 286-290. (1973) Zbl0266.54009MR0346758

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