메뉴 건너뛰기




Volumn 124, Issue 8, 1996, Pages 2575-2584

Baire spaces and hyperspace topologies

Author keywords

Baire space; Ball and ball proximal topology; Complete space; Proximal) Fell topology; Proximal) hit and miss topology, (; Proximal) Vietoris topology, (; Quasi regular space, (; Wijsman topology

Indexed keywords


EID: 21344459901     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-96-03528-9     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 0037977222 scopus 로고
    • Completeness properties designed for recognizing Baire spaces
    • [AL] MR 52:1642
    • [AL] J.M.Aarts-D.J.Lutzer, Completeness properties designed for recognizing Baire spaces, Dissertations Math. 116 (1974), 1-48. MR 52:1642
    • (1974) Dissertations Math. , vol.116 , pp. 1-48
    • Aarts, J.M.1    Lutzer, D.J.2
  • 2
    • 0007602383 scopus 로고
    • A Polish topology for the closed subsets of a Polish space
    • [Bl] MR 92c:54009
    • [Bl] G.Beer, A Polish topology for the closed subsets of a Polish space, Proc. Amer. Math. Soc. 113 (1991), 1123-1133. MR 92c:54009
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 1123-1133
    • Beer, G.1
  • 4
    • 0007438939 scopus 로고
    • Distance Functionals and Suprema of Hyperspace Topologies
    • [BLLN] MR 94c:54016
    • [BLLN] G.Beer-A.Lechicki-S.Levi-S.Naimpally, Distance Functionals and Suprema of Hyperspace Topologies, Annali Mat. Pura Appl. 162 (1992), 367-381. MR 94c:54016
    • (1992) Annali Mat. Pura Appl. , vol.162 , pp. 367-381
    • Beer, G.1    Lechicki, A.2    Levi, S.3    Naimpally, S.4
  • 5
    • 0042531810 scopus 로고
    • On hit-and-miss hyperspace topologies
    • [BT1] MR 95a:54022
    • [BT1] G.Beer-R.Tamaki, On hit-and-miss hyperspace topologies, CMUC 34 (1993), 717-728. MR 95a:54022
    • (1993) CMUC , vol.34 , pp. 717-728
    • Beer, G.1    Tamaki, R.2
  • 6
    • 0042480914 scopus 로고
    • The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies
    • [BT2] MR 95a:54023
    • [BT2] G.Beer-R.Tamaki, The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies, Proc. Amer. Math. Soc. 122 (1994), 601-612. MR 95a:54023
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 601-612
    • Beer, G.1    Tamaki, R.2
  • 7
    • 0043212855 scopus 로고
    • Every Wijsman topology relative to a Polish space is Polish
    • [C] CMP 94:11
    • [C] C.Costantini, Every Wijsman topology relative to a Polish space is Polish, Proc. Amer. Math. Soc. 123 (1995), 2569-2574. CMP 94:11
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2569-2574
    • Costantini, C.1
  • 8
    • 21844519206 scopus 로고
    • Infima of hyperspace topologies
    • [CLP]
    • [CLP] C.Costantini-S.Levi-J.Pelant, Infima of hyperspace topologies, Mathematica 42 (1995), 67-86.
    • (1995) Mathematica , vol.42 , pp. 67-86
    • Costantini, C.1    Levi, S.2    Pelant, J.3
  • 9
    • 0001155777 scopus 로고
    • Indexed systems of neighbourhoods for general topological spaces
    • [D] MR 35:4869
    • [D] A.Davis, Indexed systems of neighbourhoods for general topological spaces, Amer. Math. Monthly 68 (1961), 886-893. MR 35:4869
    • (1961) Amer. Math. Monthly , vol.68 , pp. 886-893
    • Davis, A.1
  • 12
    • 84966253677 scopus 로고
    • A Hausdorff topology for the closed subsets of locally compact non-Hausdorff space
    • [F] MR 52:2573
    • [F] J.Fell, A Hausdorff topology for the closed subsets of locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 13 (1962), 472-476. MR 52:2573
    • (1962) Proc. Amer. Math. Soc. , vol.13 , pp. 472-476
    • Fell, J.1
  • 13
    • 15944386205 scopus 로고
    • Barely Baire spaces
    • [FK] MR 80f:54009
    • [FK] W.G.Fleissner-K.Kunen, Barely Baire spaces, Fund. Math. 101 (1978), 229-240. MR 80f:54009
    • (1978) Fund. Math. , vol.101 , pp. 229-240
    • Fleissner, W.G.1    Kunen, K.2
  • 14
    • 0001294719 scopus 로고
    • Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
    • [FLL] MR 87e:54025
    • [FLL] S.Francaviglia-A.Lechicki-S.Levi, Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions, J. Math. Anal. Appl. 112 (1985), 347-370. MR 87e:54025
    • (1985) J. Math. Anal. Appl. , vol.112 , pp. 347-370
    • Francaviglia, S.1    Lechicki, A.2    Levi, S.3
  • 16
    • 0042192511 scopus 로고
    • Equivalence among hypertopologies
    • [HL] CMP 96:07
    • [HL] Ľ.Holá-R.Lucchetti, Equivalence among hypertopologies, Set-Valued Analysis 3 (1995), 339-350. CMP 96:07
    • (1995) Set-Valued Analysis , vol.3 , pp. 339-350
    • Holá, Ľ.1    Lucchetti, R.2
  • 18
  • 20
    • 84972555432 scopus 로고
    • Baire spaces and hyperspaces
    • [MC] MR 53:14436
    • [MC] R.A.McCoy, Baire spaces and hyperspaces, Pacific J. Math. 58 (1975), 133-142. MR 53:14436
    • (1975) Pacific J. Math. , vol.58 , pp. 133-142
    • McCoy, R.A.1
  • 21
    • 33645945950 scopus 로고
    • Properties of C(X) with the Epi-Topology
    • [MCN] MR 94e:54020
    • [MCN] R.A.McCoy-I.Ntantu, Properties of C(X) with the Epi-Topology, Boll. Un. Mat. Ital. (7) 6-7 (1992), 507-532. MR 94e:54020
    • (1992) Boll. Un. Mat. Ital. (7) , vol.6-7 , pp. 507-532
    • McCoy, R.A.1    Ntantu, I.2
  • 22
    • 84966237569 scopus 로고
    • Topologies on spaces of subsets
    • [Mi] MR 13:54f
    • [Mi] E.Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152-182. MR 13:54f
    • (1951) Trans. Amer. Math. Soc. , vol.71 , pp. 152-182
    • Michael, E.1
  • 23
    • 33645941967 scopus 로고
    • A note on mappings of Baire spaces
    • [N] MR 56:13153
    • [N] T.Neubrunn, A note on mappings of Baire spaces, Math. Slovaca 27 (1977), 173-176. MR 56:13153
    • (1977) Math. Slovaca , vol.27 , pp. 173-176
    • Neubrunn, T.1
  • 24
    • 0000261474 scopus 로고
    • Cartesian products of Baire spaces
    • [O] MR 25:4055
    • [O] J.C.Oxtoby, Cartesian products of Baire spaces, Fund. Math. 49 (1961), 157-166. MR 25:4055
    • (1961) Fund. Math. , vol.49 , pp. 157-166
    • Oxtoby, J.C.1
  • 25
    • 0043194730 scopus 로고
    • Eine Bemerkung über Trennungsaxiome in Räumen von abgeschlossenen Teilmengen topologisher Räume
    • [PI]
    • [PI] H.Poppe, Eine Bemerkung über Trennungsaxiome in Räumen von abgeschlossenen Teilmengen topologisher Räume, Arch. Math. 16 (1965), 197-199.
    • (1965) Arch. Math. , vol.16 , pp. 197-199
    • Poppe, H.1
  • 26
    • 0042981827 scopus 로고
    • Einige Bemerkungen über den Raum der abgeschlossenen Mengen
    • [P2] MR 33:6573
    • [P2] H.Poppe, Einige Bemerkungen über den Raum der abgeschlossenen Mengen, Fund. Math. 59 (1966), 159-169. MR 33:6573
    • (1966) Fund. Math. , vol.59 , pp. 159-169
    • Poppe, H.1
  • 28
    • 84966255244 scopus 로고
    • Topological spaces that are α-favourable for a player with perfect informotion
    • [W] MR 51:4183
    • [W] H.E.White, Jr., Topological spaces that are α-favourable for a player with perfect informotion, Proc. Amer. Math. Soc. 50 (1975), 477-482. MR 51:4183
    • (1975) Proc. Amer. Math. Soc. , vol.50 , pp. 477-482
    • White Jr., H.E.1
  • 29
    • 0042693657 scopus 로고    scopus 로고
    • On separation axioms in hyperspaces
    • [Zs]
    • [Zs] L.Zsilinszky, On separation axioms in hyperspaces, Rend. Circ. Mat. Palermo 45 (1996), 75-83.
    • (1996) Rend. Circ. Mat. Palermo , vol.45 , pp. 75-83
    • Zsilinszky, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.