On D -property of strong Σ spaces

Raushan Z. Buzyakova

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 3, page 493-495
  • ISSN: 0010-2628

Abstract

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It is shown that every strong Σ space is a D -space. In particular, it follows that every paracompact Σ space is a D -space.

How to cite

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Buzyakova, Raushan Z.. "On $D$-property of strong $\Sigma $ spaces." Commentationes Mathematicae Universitatis Carolinae 43.3 (2002): 493-495. <http://eudml.org/doc/249010>.

@article{Buzyakova2002,
abstract = {It is shown that every strong $\Sigma $ space is a $D$-space. In particular, it follows that every paracompact $\Sigma $ space is a $D$-space.},
author = {Buzyakova, Raushan Z.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {strong $\Sigma $ space; $D$-space; -space; strong space},
language = {eng},
number = {3},
pages = {493-495},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On $D$-property of strong $\Sigma $ spaces},
url = {http://eudml.org/doc/249010},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Buzyakova, Raushan Z.
TI - On $D$-property of strong $\Sigma $ spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 3
SP - 493
EP - 495
AB - It is shown that every strong $\Sigma $ space is a $D$-space. In particular, it follows that every paracompact $\Sigma $ space is a $D$-space.
LA - eng
KW - strong $\Sigma $ space; $D$-space; -space; strong space
UR - http://eudml.org/doc/249010
ER -

References

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  1. Arhangelskii A., private communications, 2001. 
  2. Borges C.R., Wehrly A.C., A study of D -spaces, Topology Proc. 16 (1991), 7-15. (1991) Zbl0787.54023MR1206448
  3. Borges C.R., Wehrly A.C., Another study of D -spaces, Questions Answers Gen. Topology 14:1 (1996), 73-76. (1996) Zbl0842.54033MR1384056
  4. Borges C.R., Wehrly A.C., Correction: another study of D -spaces, Questions Answers Gen. Topology 16:1 (1998), 77-78. (1998) MR1614761
  5. DeCaux P., Yet another property of the Sorgenfrey line, Topology Proc. 6:1 (1981), 31-43. (1981) MR0650479
  6. van Douwen E.K., Simultaneous extension of continuous functions, Thesis, Free University, Amsterdam, 1975. 
  7. van Douwen E.K., Pfeffer W.F., Some properties of the Sorgenfrey line and related spaces, Pacific J. Math. 81 (1979), 371-377. (1979) Zbl0409.54011MR0547605
  8. van Douwen E.K., Lutzer D.J., A note on paracompactness in generalized ordered spaces, Proc. Amer. Math. Soc. 125 (1997), 1237-1245. (1997) Zbl0885.54023MR1396999
  9. Engelking R., General Topology, Sigma Series in Pure Mathematics, 6, Heldermann, Berlin, revised ed., 1989. Zbl0684.54001MR1039321
  10. Fleissner W.G., Stanley A.M., D -spaces, Topology Appl. 114 (2001), 261-271. (2001) Zbl0983.54024MR1838325

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