Pairwise monotonically normal spaces

Josefa Marín; Salvador Romaguera

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 3, page 567-579
  • ISSN: 0010-2628

Abstract

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We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality.

How to cite

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Marín, Josefa, and Romaguera, Salvador. "Pairwise monotonically normal spaces." Commentationes Mathematicae Universitatis Carolinae 32.3 (1991): 567-579. <http://eudml.org/doc/21799>.

@article{Marín1991,
abstract = {We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality.},
author = {Marín, Josefa, Romaguera, Salvador},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pairwise monotonically normal space; quasi-metrizable bitopological space; pairwise stratifiable space; pairwise compact space},
language = {eng},
number = {3},
pages = {567-579},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Pairwise monotonically normal spaces},
url = {http://eudml.org/doc/21799},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Marín, Josefa
AU - Romaguera, Salvador
TI - Pairwise monotonically normal spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 3
SP - 567
EP - 579
AB - We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality.
LA - eng
KW - pairwise monotonically normal space; quasi-metrizable bitopological space; pairwise stratifiable space; pairwise compact space
UR - http://eudml.org/doc/21799
ER -

References

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