On the cardinality of power homogeneous Hausdorff spaces
Fundamenta Mathematicae (2006)
- Volume: 192, Issue: 3, page 255-266
- ISSN: 0016-2736
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topG. J. Ridderbos. "On the cardinality of power homogeneous Hausdorff spaces." Fundamenta Mathematicae 192.3 (2006): 255-266. <http://eudml.org/doc/282832>.
@article{G2006,
abstract = {We prove that the cardinality of power homogeneous Hausdorff spaces X is bounded by $d(X)^\{πχ(X)\}$. This inequality improves many known results and it also solves a question by J. van Mill. We further introduce Δ-power homogeneity, which leads to a new proof of van Douwen’s theorem.},
author = {G. J. Ridderbos},
journal = {Fundamenta Mathematicae},
keywords = {power homogeneity; density; -character; cellularity},
language = {eng},
number = {3},
pages = {255-266},
title = {On the cardinality of power homogeneous Hausdorff spaces},
url = {http://eudml.org/doc/282832},
volume = {192},
year = {2006},
}
TY - JOUR
AU - G. J. Ridderbos
TI - On the cardinality of power homogeneous Hausdorff spaces
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 3
SP - 255
EP - 266
AB - We prove that the cardinality of power homogeneous Hausdorff spaces X is bounded by $d(X)^{πχ(X)}$. This inequality improves many known results and it also solves a question by J. van Mill. We further introduce Δ-power homogeneity, which leads to a new proof of van Douwen’s theorem.
LA - eng
KW - power homogeneity; density; -character; cellularity
UR - http://eudml.org/doc/282832
ER -
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