Selections of set-valued mappings with hereditarily collectionwise normal domain

Topology and its Applications - Tập 142 - Trang 95-100 - 2004
Ivailo Shishkov1
1Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G.Bontchev Str., Block 8, 1113 Sofia, Bulgaria

Tài liệu tham khảo

Choban, 1997, Continuous selections for mappings with generalized ordered domain, Math. Balkanica N. S., 11, 87 Bing, 1951, Metrization of topological spaces, Canad. J. Math., 3, 175, 10.4153/CJM-1951-022-3 Dieudonné, 1944, Une généralisation des espaces compacts, J. Math. Pures Appl., 23, 65 Michael, 1955, Point-finite and locally finite coverings, Canad. J. Math., 7, 275, 10.4153/CJM-1955-029-6 Michael, 1956, Continuous selection I, Ann. of Math., 63, 361, 10.2307/1969615 Nagata, 1985, Modern General Topology, vol. 33 Pol, 1977, A perfectly normal locally metrizable non-paracompact space, Fund. Math., 97, 37, 10.4064/fm-97-2-53-55 Shishkov, 2000, Selections of l.s.c. mappings into Hilbert spaces, C. R. Acad. Bulg. Sci., 53, 5 Shishkov, 2001, Σ-products and selections of set-valued mappings, Comment. Math. Univ. Carolin., 42, 203 Shishkov, 2001, Extensions of l.s.c. mappings into reflexive Banach spaces, Set-Valued Analysis, 10, 79, 10.1023/A:1014495429664 Smith, 1978, Collectionwise normality and expandability in quasi-k-spaces, vol. 23, 1111 Troyanski, 1971, On locally uniformly convex and differentiable norms in certain non-separable Banach space, Studia Math., 37, 173, 10.4064/sm-37-2-173-180