Detail publikace

A note on the comparison of topologies

KOVÁR, M.

Originální název

A note on the comparison of topologies

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

A considerable problem of some bitopological covering properties is the bitopological unstability with respect to the presence of the pairwise Hausdorff separation axiom. For instance, if the space is $RR$-pairwise paracompact its two topologies will collapse and revert to the unitopological case. We introduce a new bitopological separation axiom $\tau S_2 \sigma$ which is appropriate for the study of the bitopological collapse. We also show that the property that may cause the collapse is much weaker than some modifications of pairwise paracompactness and we generalize several results of T. G. Raghavan and I. L. Reilly regarding the comparison of topologies.

Klíčová slova

Spaces with more topologies, separation axioms in bitopological spaces, $\theta$-regularity, pairwise paracompactness

Autoři

KOVÁR, M.

Rok RIV

2001

Vydáno

1. 1. 2001

ISSN

0161-1712

Periodikum

International Journal of Mathematics and Mathematical Sciences

Ročník

26

Číslo

4

Stát

Česká republika

Strany od

233

Strany do

237

Strany počet

5

BibTex

@article{BUT40135,
  author="Martin {Kovár}",
  title="A note on the comparison of topologies",
  journal="International Journal of Mathematics and Mathematical Sciences",
  year="2001",
  volume="26",
  number="4",
  pages="5",
  issn="0161-1712"
}