The G δ -topology and incompactness of ω α

Isaac Gorelic

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 3, page 613-616
  • ISSN: 0010-2628

Abstract

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We establish a relation between covering properties (e.gĿindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries.

How to cite

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Gorelic, Isaac. "The $G_\delta $-topology and incompactness of $\omega ^\alpha $." Commentationes Mathematicae Universitatis Carolinae 37.3 (1996): 613-616. <http://eudml.org/doc/247815>.

@article{Gorelic1996,
abstract = {We establish a relation between covering properties (e.gĿindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries.},
author = {Gorelic, Isaac},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lindelöf degree; $G_\delta $ topology; cardinal functions; Lindelöf degree; -topology; cardinal functions},
language = {eng},
number = {3},
pages = {613-616},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The $G_\delta $-topology and incompactness of $\omega ^\alpha $},
url = {http://eudml.org/doc/247815},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Gorelic, Isaac
TI - The $G_\delta $-topology and incompactness of $\omega ^\alpha $
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 3
SP - 613
EP - 616
AB - We establish a relation between covering properties (e.gĿindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries.
LA - eng
KW - Lindelöf degree; $G_\delta $ topology; cardinal functions; Lindelöf degree; -topology; cardinal functions
UR - http://eudml.org/doc/247815
ER -

References

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  1. Kunen K., Box products of ordered spaces, Topology and its applications 20 (1985). (1985) Zbl0583.54005MR0804037
  2. Mycielski J., α -incompactness of N α , Bull. Acad. Pol., vol.XII, no.8, 1964. MR0211871
  3. Łoś J., Linear equations and pure subgroups, Bull. Acad. Polon. Sci. 7 (1959). (1959) MR0103922
  4. Juhàsz I., On closed discrete subspaces of product spaces, Bull. Acad. Pol., vol.XVII, no.4, 1969. MR0254808
  5. Todorcevic̀ S., Incompactness of θ , Handwritten notes, 1990. 

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