On weakly bisequential spaces

Chuan Liu

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 3, page 611-617
  • ISSN: 0010-2628

Abstract

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Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces.

How to cite

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Liu, Chuan. "On weakly bisequential spaces." Commentationes Mathematicae Universitatis Carolinae 41.3 (2000): 611-617. <http://eudml.org/doc/248647>.

@article{Liu2000,
abstract = {Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces.},
author = {Liu, Chuan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bisequential spaces; filter base; s-map; bisequential space; sequential space},
language = {eng},
number = {3},
pages = {611-617},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On weakly bisequential spaces},
url = {http://eudml.org/doc/248647},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Liu, Chuan
TI - On weakly bisequential spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 3
SP - 611
EP - 617
AB - Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces.
LA - eng
KW - bisequential spaces; filter base; s-map; bisequential space; sequential space
UR - http://eudml.org/doc/248647
ER -

References

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  1. Arhangel'skii A.V., Bisequential spaces, tightness of products, and metrizability conditions in topological groups, Trans. Moscow Math. Soc. 55 (1994), 207-219. (1994) MR1468459
  2. Arhangel'skii A.V., The frequency spectrum of a topological space and the product operation, Trans. Moscow Math. Soc. 40 (1981), 163-200. (1981) 
  3. Gruenhage G., Michael E., Tanaka Y., Spaces determined by point-countable covers, Pacific J. Math. 113 (1984), 303-332. (1984) Zbl0561.54016MR0749538
  4. Foged L., A characterization of closed images of metric spaces, Proc. Amer. Math. Soc. 95 (1985), 487-490. (1985) Zbl0592.54027MR0806093
  5. Junnila H.J.K., Yun Z., ℵ -spaces and spaces with σ -hereditarily closure-preserving k-network, Topology Appl. 30 (1990), 209-215. (1990) MR1173260
  6. Lin S., Mapping theorems on ℵ -spaces, Topology Appl. 30 (1988), 159-164. (1988) Zbl0663.54017MR0967752
  7. Michael E.A., A quintuple quotient quest, Topology Appl. 2 (1972), 91-138. (1972) Zbl0238.54009MR0309045
  8. Simon P., A compact Fréchet space whose square is not Fréchet, Comment. Math. Univ. Carolinae 21 (1980), 749-753. (1980) Zbl0466.54022MR0597764
  9. Sirois-Dumais R., Quasi- and weakly-quasi-first-countable space, Topology Appl. 11 (1980), 223-230. (1980) MR0572376

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