Monotonically normal topological vector spaces are stratifiable

Topology and its Applications - Tập 136 - Trang 129-134 - 2004
S.A. Shkarin1
1Moscow State University, Faculty of Mathematics and Mechanics, Vorobjovy gory, 119899 Moscow, Russia

Tài liệu tham khảo

Borges, 1966, On stratifiable spaces, Pacific J. Math., 17, 1, 10.2140/pjm.1966.17.1 Borges, 1967, Continuous extensions, Proc. Amer. Math. Soc., 18, 874, 10.1090/S0002-9939-1967-0217772-2 Bourbaki, 1987 Dugundji, 1951, An extension of Tietze's theorem, Pacific J. Math., 1, 353, 10.2140/pjm.1951.1.353 Engelking, 1989 Gartside, 1998, Nonstratifiability of topological vector spaces, Topology Appl., 86, 133, 10.1016/S0166-8641(97)00113-2 Gartside, 2000, Near metric properties of function spaces, Fund. Math., 164, 97, 10.4064/fm_2000_164_2_1_97_114 Gruenhage, 1984, Generalized metric spaces Heath, 1973, Characterization of σ-spaces, Fund. Math., 77, 271, 10.4064/fm-77-3-271-275 Shkarin, 1999, On stratifiable locally convex spaces, Russian J. Math. Phys., 6, 435 O.V. Sipacheva, Stratifiable locally convex spaces, in: Proc. VIII Prague Topological Symposium Yaschenko, 1994, On the monotone normality of function spaces, Moscow Univ. Math. Bull., 49, 62 Sipacheva, 2003, A class of free locally convex spaces, Sb. Math., 194, 333, 10.1070/SM2003v194n03ABEH000719