On Baireness of the Wijsman Hyperspace
Bollettino dell'Unione Matematica Italiana (2007)
- Volume: 10-B, Issue: 3, page 1071-1079
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topZsilinszky, László. "On Baireness of the Wijsman Hyperspace." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 1071-1079. <http://eudml.org/doc/290370>.
@article{Zsilinszky2007,
abstract = {Baireness of the Wijsman hyperspace topology is characterized for a me- trizable base space with a countable-in-itself p-base; further a separable 1st category metric space is constructed with a Baire Wijsman hyperspace.},
author = {Zsilinszky, László},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {1071-1079},
publisher = {Unione Matematica Italiana},
title = {On Baireness of the Wijsman Hyperspace},
url = {http://eudml.org/doc/290370},
volume = {10-B},
year = {2007},
}
TY - JOUR
AU - Zsilinszky, László
TI - On Baireness of the Wijsman Hyperspace
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 1071
EP - 1079
AB - Baireness of the Wijsman hyperspace topology is characterized for a me- trizable base space with a countable-in-itself p-base; further a separable 1st category metric space is constructed with a Baire Wijsman hyperspace.
LA - eng
UR - http://eudml.org/doc/290370
ER -
References
top- BARBATI, A., The hyperspace of an analytic metrizable space is analytic, Rend. Ist. Mat. Univ. Trieste, 25 (1993), 15-21. Zbl0849.54030MR1346314
- BEER, G., A Polish topology for the closed subsets of a Polish space, Proc. Amer. Math. Soc., 113 (1991), 1123-1133. Zbl0776.54011MR1065940DOI10.2307/2048792
- BEER, G., Topologies on Closed and Closed Convex Sets, Kluwer, Dordrecht, 1993. Zbl0792.54008MR1269778DOI10.1007/978-94-015-8149-3
- BING, R. H., Extending a metric, Duke Math. J., 14 (1947), 511-519. Zbl0030.08003MR24609
- BEER, G. - LECHICKI, A. - LEVI, S. - NAIMPALLY, S., Distance Functionals and Suprema of Hyperspace Topologies, Annali Mat. Pura Appl., 162 (1992), 367-381. Zbl0774.54004MR1199663DOI10.1007/BF01760016
- COSTANTINI, C., Every Wijsman topology relative to a Polish space is Polish, Proc. Amer. Math. Soc., 123 (1995), 2569-2574. Zbl0831.54014MR1273484DOI10.2307/2161290
- COSTANTINI, C., On the hyperspace of a non-separable metric space, Proc. Amer. Math. Soc., 126 (1998), 3393-3396. Zbl0898.54012MR1618729DOI10.1090/S0002-9939-98-04956-9
- COSTANTINI, C. - LEVI, S. - PELANT, J., Infima of hyperspace topologies, Mathematika, 42 (1995), 67-86. Zbl0822.54004MR1346673DOI10.1112/S0025579300011360
- CHABER, J. - POL, R., Note on the Wijsman hyperspaces of completely metrizable spaces, Bollettino U.M.I., 85-B (2002), 827-832. Zbl1098.54006MR1934383
- EFFROS, E. G., Convergence of closed subsets in a topological space, Proc. Amer. Math. Soc., 16 (1965), 929-931. Zbl0139.40403MR181983DOI10.2307/2035586
- HOLÁ, L'. - LUCCHETTI, R., Equivalence among hypertopologies, Set-Valued Anal., 3 (1995), 339-350. MR1372872DOI10.1007/BF01026245
- HAWORTH, R. C. - MCCOY, R. A., Baire spaces, Dissertationes Math., 141 (1977), 1- 77. MR431104
- NEUBRUNN, T., A note on mappings of Baire spaces, Math. Slovaca, 27 (1977), 173-176. Zbl0371.54023MR454910
- OXTOBY, J. C., Cartesian products of Baire spaces, Fundam. Math., 49 (1961), 157-166. Zbl0113.16402MR140638DOI10.4064/fm-49-2-157-166
- PIOTROWSKI, Z. - ROSANOWSKI, A. - SCOTT, B. M., The pinched-cube topology, Pacific J. Math., 105 (1983), 399-413. Zbl0516.54006MR691611
- TODD, A., Quasiregular, pseudocomplete, and Baire spaces, Pacific J. Math., 95 (1981), 233-250. MR631673
- WIJSMAN, R., Convergence of sequences of convex sets, cones and functions II, Trans. Amer. Math. Soc., 123 (1966), 32-45. Zbl0146.18204MR196599DOI10.2307/1994611
- ZSILINSZKY, L., Baire spaces and hyperspace topologies, Proc. Amer. Math. Soc., 124 (1996), 2575-2584. Zbl0855.54011MR1343733DOI10.1090/S0002-9939-96-03528-9
- ZSILINSZKY, L., Polishness of the Wijsman topology revisited, Proc. Amer. Math. Soc., 126 (1998), 3763-3765. Zbl0899.54009MR1458275DOI10.1090/S0002-9939-98-04526-2
- ZSILINSZKY, L., Topological Games and Hyperspace Topologies, Set-Valued Anal., 6 (1998), 187-207. Zbl0910.54011MR1646498DOI10.1023/A:1008669420995
- ZSILINSZKY, L., Products of Baire spaces revisited, Fundam. Math., 183 (2004), 115-121. Zbl1076.54024MR2127961DOI10.4064/fm183-2-3
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.