Countably metacompact spaces in the constructible universe

Paul Szeptycki

Fundamenta Mathematicae (1993)

  • Volume: 143, Issue: 3, page 221-230
  • ISSN: 0016-2736

Abstract

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We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a G δ . In addition some nonperfect spaces with σ-disjoint bases are constructed.

How to cite

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Szeptycki, Paul. "Countably metacompact spaces in the constructible universe." Fundamenta Mathematicae 143.3 (1993): 221-230. <http://eudml.org/doc/212006>.

@article{Szeptycki1993,
abstract = {We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_δ$. In addition some nonperfect spaces with σ-disjoint bases are constructed.},
author = {Szeptycki, Paul},
journal = {Fundamenta Mathematicae},
keywords = {countably metacompact; $G_δ$, ♢*; axiom of constructibility; diamond star; countably metacompact space; nonperfect spaces},
language = {eng},
number = {3},
pages = {221-230},
title = {Countably metacompact spaces in the constructible universe},
url = {http://eudml.org/doc/212006},
volume = {143},
year = {1993},
}

TY - JOUR
AU - Szeptycki, Paul
TI - Countably metacompact spaces in the constructible universe
JO - Fundamenta Mathematicae
PY - 1993
VL - 143
IS - 3
SP - 221
EP - 230
AB - We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_δ$. In addition some nonperfect spaces with σ-disjoint bases are constructed.
LA - eng
KW - countably metacompact; $G_δ$, ♢*; axiom of constructibility; diamond star; countably metacompact space; nonperfect spaces
UR - http://eudml.org/doc/212006
ER -

References

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