Decreasing (G) spaces
Commentationes Mathematicae Universitatis Carolinae (1998)
- Volume: 39, Issue: 4, page 809-817
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topStares, 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
top- Balogh Z., Topological spaces with point-networks, Proc. Amer. Math. Soc. 94 (1985), 497-501. (1985) Zbl0584.54024MR0787901
- Borges C.J.R., A study of monotonically normal spaces, Proc. Amer. Math. Soc. 38 (1973), 211-214. (1973) Zbl0257.54018MR0324644
- Collins P.J., Roscoe A.W., Criteria for metrisability, Proc. Amer. Math. Soc. 90 (1984), 631-640. (1984) Zbl0541.54034MR0733418
- Collins P.J., Reed G.M., Roscoe A.W., Rudin M.E., A lattice of conditions on topological spaces, Proc. Amer. Math. Soc. 94 (1985), 487-496. (1985) Zbl0562.54043MR0787900
- Engelking R., General Topology, Heldermann Verlag, Berlin, 1989. Zbl0684.54001MR1039321
- Gao Y.-Z., A note concerning the Collins, Reed, Roscoe, Rudin metrization theorem, Topology Appl. 74 (1996), 73-82. (1996) Zbl0883.54028MR1425927
- Gartside P.M., Moody P.J., Well-ordered (F) spaces, Topology Proc. 17 (1992), 111-130. (1992) Zbl0797.54038MR1255798
- Lindgren W.F., Nyikos P.J., Spaces with bases satisfying certain order and intersection properties, Pacific J. Math. 66 (1976), 455-476. (1976) Zbl0354.54016MR0445452
- Moody P.J., Reed G.M., Roscoe A.W., Collins P.J., A lattice of conditions on topological spaces II, Fund. Math. 138 (1991), 69-81. (1991) Zbl0745.54008MR1124537
- Moody P.J., Roscoe A.W., Acyclic monotone normality, Topology Appl. 47 (1992), 53-67. (1992) Zbl0801.54018MR1189992
- Stares I.S., Concerning the Dugundji extension property, Topology Appl. 63 (1995), 165-172. (1995) Zbl0833.54016MR1330686
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.