Remarks on the cardinality of a power homogeneous space

Angelo Bella

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 3, page 463-468
  • ISSN: 0010-2628

Abstract

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We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula | X | 2 π χ ( X ) for any regular power homogeneous ccc space.

How to cite

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Bella, Angelo. "Remarks on the cardinality of a power homogeneous space." Commentationes Mathematicae Universitatis Carolinae 46.3 (2005): 463-468. <http://eudml.org/doc/249530>.

@article{Bella2005,
abstract = {We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula $|X|\le 2^\{\pi \chi (X)\}$ for any regular power homogeneous ccc space.},
author = {Bella, Angelo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {homogeneous spaces; cellularity; $\pi $-character; cellularity; -character},
language = {eng},
number = {3},
pages = {463-468},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on the cardinality of a power homogeneous space},
url = {http://eudml.org/doc/249530},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Bella, Angelo
TI - Remarks on the cardinality of a power homogeneous space
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 3
SP - 463
EP - 468
AB - We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula $|X|\le 2^{\pi \chi (X)}$ for any regular power homogeneous ccc space.
LA - eng
KW - homogeneous spaces; cellularity; $\pi $-character; cellularity; -character
UR - http://eudml.org/doc/249530
ER -

References

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  5. Ismail M., Cardinal functions of homogeneous spaces and topological groups, Math. Japon. 26 (1981), 635-646. (1981) Zbl0479.54003MR0649371
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  7. Juhász I., On the minimum character of points in compact spaces, Colloq. Math. Soc. János Bolyai 55 (1989), 365-371; North-Holland, Amsterdam, 1993. (1989) MR1244377
  8. Kunen K., Set Theory: An Introduction to independence Results, Elsevier Science Publishers B.V. (North-Holland) Amsterdam, The Netherlands (1980). (1980) MR0597342
  9. Kunen K., Compact L -spaces and right topological groups, Topology Proc. (1999), 24 295-327. (1999) Zbl1027.54503MR1876380
  10. van Mill J., On the cardinality of power homogeneous compacta, Topology Appl. 146-147 (2005), 421-428. (2005) Zbl1068.54006MR2107161
  11. Šapirovskiĭ B., Maps onto Tychonoff cubes, Russian Math. Surveys (1980), 35 3 145-156. (1980) MR0580628

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