The union of two D-spaces need not be D

Dániel T. Soukup; Paul J. Szeptycki

Fundamenta Mathematicae (2013)

  • Volume: 220, Issue: 2, page 129-137
  • ISSN: 0016-2736

Abstract

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We construct from ⋄ a T₂ example of a hereditarily Lindelöf space X that is not a D-space but is the union of two subspaces both of which are D-spaces. This answers a question of Arhangel'skii.

How to cite

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Dániel T. Soukup, and Paul J. Szeptycki. "The union of two D-spaces need not be D." Fundamenta Mathematicae 220.2 (2013): 129-137. <http://eudml.org/doc/282738>.

@article{DánielT2013,
abstract = {We construct from ⋄ a T₂ example of a hereditarily Lindelöf space X that is not a D-space but is the union of two subspaces both of which are D-spaces. This answers a question of Arhangel'skii.},
author = {Dániel T. Soukup, Paul J. Szeptycki},
journal = {Fundamenta Mathematicae},
keywords = {-spaces; Lindelöf spaces},
language = {eng},
number = {2},
pages = {129-137},
title = {The union of two D-spaces need not be D},
url = {http://eudml.org/doc/282738},
volume = {220},
year = {2013},
}

TY - JOUR
AU - Dániel T. Soukup
AU - Paul J. Szeptycki
TI - The union of two D-spaces need not be D
JO - Fundamenta Mathematicae
PY - 2013
VL - 220
IS - 2
SP - 129
EP - 137
AB - We construct from ⋄ a T₂ example of a hereditarily Lindelöf space X that is not a D-space but is the union of two subspaces both of which are D-spaces. This answers a question of Arhangel'skii.
LA - eng
KW - -spaces; Lindelöf spaces
UR - http://eudml.org/doc/282738
ER -

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