Decreasing (G) spaces

Ian Stares

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 4, page 809-817
  • ISSN: 0010-2628

Abstract

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We consider the class of decreasing (G) spaces introduced by Collins and Roscoe and address the question as to whether it coincides with the class of decreasing (A) spaces. We provide a partial solution to this problem (the answer is yes for homogeneous spaces). We also express decreasing (G) as a monotone normality type condition and explore the preservation of decreasing (G) type properties under closed maps. The corresponding results for decreasing (A) spaces are unknown.

How to cite

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Stares, Ian. "Decreasing (G) spaces." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 809-817. <http://eudml.org/doc/248225>.

@article{Stares1998,
abstract = {We consider the class of decreasing (G) spaces introduced by Collins and Roscoe and address the question as to whether it coincides with the class of decreasing (A) spaces. We provide a partial solution to this problem (the answer is yes for homogeneous spaces). We also express decreasing (G) as a monotone normality type condition and explore the preservation of decreasing (G) type properties under closed maps. The corresponding results for decreasing (A) spaces are unknown.},
author = {Stares, Ian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {decreasing (G); decreasing (A); homogeneous; monotone normality; closed map; decreasing (G); decreasing (A); homogeneous; monotone normality; closed map},
language = {eng},
number = {4},
pages = {809-817},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Decreasing (G) spaces},
url = {http://eudml.org/doc/248225},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Stares, Ian
TI - Decreasing (G) spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 4
SP - 809
EP - 817
AB - We consider the class of decreasing (G) spaces introduced by Collins and Roscoe and address the question as to whether it coincides with the class of decreasing (A) spaces. We provide a partial solution to this problem (the answer is yes for homogeneous spaces). We also express decreasing (G) as a monotone normality type condition and explore the preservation of decreasing (G) type properties under closed maps. The corresponding results for decreasing (A) spaces are unknown.
LA - eng
KW - decreasing (G); decreasing (A); homogeneous; monotone normality; closed map; decreasing (G); decreasing (A); homogeneous; monotone normality; closed map
UR - http://eudml.org/doc/248225
ER -

References

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