The sizes of relatively compact T 1 -spaces

Winfried Just

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 2, page 379-380
  • ISSN: 0010-2628

Abstract

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The relativization of Gryzlov’s theorem about the size of compact T 1 -spaces with countable pseudocharacter is false.

How to cite

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Just, Winfried. "The sizes of relatively compact $T_1$-spaces." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 379-380. <http://eudml.org/doc/247939>.

@article{Just1996,
abstract = {The relativization of Gryzlov’s theorem about the size of compact $T_1$-spaces with countable pseudocharacter is false.},
author = {Just, Winfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {relatively compact; relatively Lindelöf; $T_1$-space; measurable cardinal},
language = {eng},
number = {2},
pages = {379-380},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The sizes of relatively compact $T_1$-spaces},
url = {http://eudml.org/doc/247939},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Just, Winfried
TI - The sizes of relatively compact $T_1$-spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 379
EP - 380
AB - The relativization of Gryzlov’s theorem about the size of compact $T_1$-spaces with countable pseudocharacter is false.
LA - eng
KW - relatively compact; relatively Lindelöf; $T_1$-space; measurable cardinal
UR - http://eudml.org/doc/247939
ER -

References

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  1. Arhangel'skii A.V., A generic theorem in the theory of cardinal invariants of topological spaces, Comment. Math. Univ. Carolinae 36.2 (1995), 303-325. (1995) MR1357532
  2. Antonovskii M.Y., Chudnovskii D.V., Some questions of general topology and Tikhonov semifields II, Russian Math. Surveys 31.3 (1976), 69-128. (1976) 
  3. Gryzlov A.A., Two theorems on the cardinality of topological spaces, Soviet Math. Dokl. 21.2 (1980), 506-509. (1980) Zbl0449.54005MR0568530
  4. Ranchin D.V., On compactness modulo an ideal, Soviet Math. Dokl. 13.1 (1972), 193-197. (1972) 

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