Nonnormality points of βX∖X
William Fleissner; Lynne Yengulalp
Fundamenta Mathematicae (2011)
- Volume: 214, Issue: 3, page 269-283
- ISSN: 0016-2736
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topWilliam Fleissner, and Lynne Yengulalp. "Nonnormality points of βX∖X." Fundamenta Mathematicae 214.3 (2011): 269-283. <http://eudml.org/doc/283333>.
@article{WilliamFleissner2011,
abstract = {Let X be a crowded metric space of weight κ that is either $κ^\{ω\}$-like or locally compact. Let y ∈ βX∖X and assume GCH. Then a space of nonuniform ultrafilters embeds as a closed subspace of (βX∖X)∖y with y as the unique limit point. If, in addition, y is a regular z-ultrafilter, then the space of nonuniform ultrafilters is not normal, and hence (βX∖X)∖y is not normal.},
author = {William Fleissner, Lynne Yengulalp},
journal = {Fundamenta Mathematicae},
keywords = {non-normality point; butterfly point; regular -ultrafilter},
language = {eng},
number = {3},
pages = {269-283},
title = {Nonnormality points of βX∖X},
url = {http://eudml.org/doc/283333},
volume = {214},
year = {2011},
}
TY - JOUR
AU - William Fleissner
AU - Lynne Yengulalp
TI - Nonnormality points of βX∖X
JO - Fundamenta Mathematicae
PY - 2011
VL - 214
IS - 3
SP - 269
EP - 283
AB - Let X be a crowded metric space of weight κ that is either $κ^{ω}$-like or locally compact. Let y ∈ βX∖X and assume GCH. Then a space of nonuniform ultrafilters embeds as a closed subspace of (βX∖X)∖y with y as the unique limit point. If, in addition, y is a regular z-ultrafilter, then the space of nonuniform ultrafilters is not normal, and hence (βX∖X)∖y is not normal.
LA - eng
KW - non-normality point; butterfly point; regular -ultrafilter
UR - http://eudml.org/doc/283333
ER -
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