A note on g -metrizable spaces

Jinjin Li

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 491-495
  • ISSN: 0011-4642

Abstract

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In this paper, the relationships between metric spaces and g -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.

How to cite

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Li, Jinjin. "A note on $g$-metrizable spaces." Czechoslovak Mathematical Journal 53.2 (2003): 491-495. <http://eudml.org/doc/30793>.

@article{Li2003,
abstract = {In this paper, the relationships between metric spaces and $g$-metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.},
author = {Li, Jinjin},
journal = {Czechoslovak Mathematical Journal},
keywords = {metric spaces; $g$-metrizable spaces; 1-sequence-covering mappings; $\sigma $-mappings; quotient mappings; metric spaces; -metrizable spaces; 1-sequence-covering mappings; -mappings; quotient mappings},
language = {eng},
number = {2},
pages = {491-495},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on $g$-metrizable spaces},
url = {http://eudml.org/doc/30793},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Li, Jinjin
TI - A note on $g$-metrizable spaces
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 491
EP - 495
AB - In this paper, the relationships between metric spaces and $g$-metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.
LA - eng
KW - metric spaces; $g$-metrizable spaces; 1-sequence-covering mappings; $\sigma $-mappings; quotient mappings; metric spaces; -metrizable spaces; 1-sequence-covering mappings; -mappings; quotient mappings
UR - http://eudml.org/doc/30793
ER -

References

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  1. On some results concerning topological spaces and their continuous mappings, In: Proc. Symp. Gen. Top. (Prague, 1961), 1961, pp. 41–54. (1961) MR0145472
  2. 10.2140/pjm.1974.52.233, Pacific J.  Math. 52 (1974), 233–245. (1974) Zbl0285.54022MR0350706DOI10.2140/pjm.1974.52.233
  3. On sequence-covering s -mappings, Adv. Math. (China) 25 (1996), 548–551. (1996) MR1453163
  4. σ -mappings and Alexandroff’s problems, (to appear). (to appear) 
  5. Sequentially quotient mappings, Czechoslovak Math.  J. 26 (1976), 174–182. (1976) MR0402689
  6. General Topology, Polish Scientific Publishers, Warszawa, 1977. (1977) Zbl0373.54002MR0500780
  7. Mappings and spaces, Russian Math. Surveys 21 (1966), 115–162. (1966) MR0227950
  8. σ -hereditarily closure-preserving k -networks and g -metrizability, Proc. Amer. Math. Soc. 112 (1991), 283–290. (1991) Zbl0770.54031MR1049850

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