Relative symmetrizability and metrizability

Aleksander V. Arhangel'skii; I. Ju. Gordienko

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 757-774
  • ISSN: 0010-2628

Abstract

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Relative metrizability is defined and connections with other relative properties are established.

How to cite

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Arhangel'skii, Aleksander V., and Gordienko, I. Ju.. "Relative symmetrizability and metrizability." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 757-774. <http://eudml.org/doc/247905>.

@article{Arhangelskii1996,
abstract = {Relative metrizability is defined and connections with other relative properties are established.},
author = {Arhangel'skii, Aleksander V., Gordienko, I. Ju.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {relative metrizability; relative proper metrizability; relative paracompactness; relative metrizability; relative symmetrizability; relative paracompactness},
language = {eng},
number = {4},
pages = {757-774},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Relative symmetrizability and metrizability},
url = {http://eudml.org/doc/247905},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Arhangel'skii, Aleksander V.
AU - Gordienko, I. Ju.
TI - Relative symmetrizability and metrizability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 757
EP - 774
AB - Relative metrizability is defined and connections with other relative properties are established.
LA - eng
KW - relative metrizability; relative proper metrizability; relative paracompactness; relative metrizability; relative symmetrizability; relative paracompactness
UR - http://eudml.org/doc/247905
ER -

References

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  1. Arens R., Note on convergence in topology, Math. Mag. 23 (1950), 229-234. (1950) Zbl0041.31502MR0037500
  2. Arhangel'skii A.V., External bases in bicompacta, Soviet Math. Dokl. 1:3 (1960), 573-574. (1960) MR0119188
  3. Arhangel'skii A.V., Mappings and spaces, Russian Math. Surveys 21:4 (1966), 115-162. (1966) MR0227950
  4. Arhangel'skii A.V., and Genedi H.M.M., Beginnings of the theory of relative topological properties, pp.3-48 in: General Topology. Spaces and mappings, MGU, Moscow, 1989 (in Russian). 
  5. Arhangel'skii A.V., Gordienko I.Ju., On relative normality and relative symmetrizability, Moscow University Math. Bull. 50:3 (1995), 32-36. (1995) MR1376351
  6. Aull C.E., Paracompact subsets, Proc. of the Second Prague Topological Symposium, pp.45-51, Prague, 1966. Zbl0227.54015MR0234420
  7. Aull C.E., Collectionwise normal subsets, J. London Math. Soc. 2:1 (1969), 155-162. (1969) Zbl0182.56102MR0248709
  8. Aull C.E., Paracompact and countably paracompact subsets, Proc. of the Kanpur Topological Conference, pp.49-53, 1968. Zbl0227.54015
  9. Corson H.H., Michael E., Metrization of certain countable unions, Illinois J. Math. 8 (1964), 351-360. (1964) MR0170324
  10. Engelking R., General Topology, Heldermann, Berlin, 1989. Zbl0684.54001MR1039321
  11. Nedev S.J., o -metrizable spaces, Mosc. Math. Soc. Trans. 24 (1971), 213-247. (1971) MR0367935

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