# Countably metacompact spaces in the constructible universe

Fundamenta Mathematicae (1993)

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

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topSzeptycki, 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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- [N1] P. Nyikos, A provisional solution to the normal Moore space problem, Proc. Amer. Math. Soc. 78 (1980), 429-435. Zbl0446.54030
- [N2] P. Nyikos, Countably metacompact, locally countable spaces in the constructible universe, Topology Appl., to appear. Zbl0893.54017
- [S] P. J. Szeptycki, Uncovering separation properties in the Easton model, preprint. Zbl0862.54019
- [T1] F. D. Tall, Set-theoretic consistence results and topological theorems concerning the normal Moore space conjecture and related problems, Dissertationes Math. 148 (1977).
- [T2] F. D. Tall, Covering and separation properties in the Easton model, Topology Appl. 28 (1988), 155-163.
- [W] S. Watson, Separation in countably paracompact spaces, Trans. Amer. Math. Soc. 290 (1985), 831-842. Zbl0583.54013

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