The sup = max problem for the extent and the Lindelöf degree of generalized metric spaces, II

Yasushi Hirata

Commentationes Mathematicae Universitatis Carolinae (2015)

  • Volume: 56, Issue: 1, page 89-103
  • ISSN: 0010-2628

Abstract

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In [The sup = max problem for the extent of generalized metric spaces, Comment. Math. Univ. Carolin. The special issue devoted to Čech 54 (2013), no. 2, 245–257], the author and Yajima discussed the sup = max problem for the extent and the Lindelöf degree of generalized metric spaces: (strict) p -spaces, (strong) Σ -spaces and semi-stratifiable spaces. In this paper, the sup = max problem for the Lindelöf degree of spaces having G δ -diagonals and for the extent of spaces having point-countable bases is considered.

How to cite

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Hirata, Yasushi. "The sup = max problem for the extent and the Lindelöf degree of generalized metric spaces, II." Commentationes Mathematicae Universitatis Carolinae 56.1 (2015): 89-103. <http://eudml.org/doc/269888>.

@article{Hirata2015,
abstract = {In [The sup = max problem for the extent of generalized metric spaces, Comment. Math. Univ. Carolin. The special issue devoted to Čech 54 (2013), no. 2, 245–257], the author and Yajima discussed the sup = max problem for the extent and the Lindelöf degree of generalized metric spaces: (strict) $p$-spaces, (strong) $\Sigma $-spaces and semi-stratifiable spaces. In this paper, the sup = max problem for the Lindelöf degree of spaces having $G_\delta $-diagonals and for the extent of spaces having point-countable bases is considered.},
author = {Hirata, Yasushi},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {extent; Lindelöf degree; $G_\delta $-diagonal; point-countable base; extent; Lindelöf degree; -diagonal; point-countable base},
language = {eng},
number = {1},
pages = {89-103},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The sup = max problem for the extent and the Lindelöf degree of generalized metric spaces, II},
url = {http://eudml.org/doc/269888},
volume = {56},
year = {2015},
}

TY - JOUR
AU - Hirata, Yasushi
TI - The sup = max problem for the extent and the Lindelöf degree of generalized metric spaces, II
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 1
SP - 89
EP - 103
AB - In [The sup = max problem for the extent of generalized metric spaces, Comment. Math. Univ. Carolin. The special issue devoted to Čech 54 (2013), no. 2, 245–257], the author and Yajima discussed the sup = max problem for the extent and the Lindelöf degree of generalized metric spaces: (strict) $p$-spaces, (strong) $\Sigma $-spaces and semi-stratifiable spaces. In this paper, the sup = max problem for the Lindelöf degree of spaces having $G_\delta $-diagonals and for the extent of spaces having point-countable bases is considered.
LA - eng
KW - extent; Lindelöf degree; $G_\delta $-diagonal; point-countable base; extent; Lindelöf degree; -diagonal; point-countable base
UR - http://eudml.org/doc/269888
ER -

References

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  6. Hirata Y., Yajima Y., The sup = max problem for the extent of generalized metric spaces, Comment. Math. Univ. Carolin. (The special issue devoted to Čech) 54 (2013), no. 2, 245–257. Zbl1289.54024MR3067707
  7. Hodel R.E., Cardinal functions I, Handbook of Set-theoretic Topology (K. Kunen and J.E. Vaughan, eds), North-Holland, Amsterdam, 1984, pp. 1–61. Zbl0559.54003MR0776620
  8. Kunen K., Luzin spaces, Topology Proc. 1 (1976), 191–199. Zbl0389.54004MR0450063
  9. Kunen K., Set Theory. An Introduction to Independence Proofs, North-Holland, Amsterdam, 1980. Zbl0534.03026MR0597342
  10. Roitman J., 10.1016/0016-660X(78)90020-X, Gen. Topology Appl. 8 (1978), 85–91. Zbl0398.54001MR0493957DOI10.1016/0016-660X(78)90020-X
  11. Yajima Y., private communication. 

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