AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is metrizable. It is deduced that if a Banach space, in its weak topology, is stratifiable, then it is metrizable. Also, it is shown that Cp(X) is stratifiable if and only if X is countable
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
AbstractThis paper is motivated by V.V. Uspenskii's results on embeddings of spaces into function sp...
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
AbstractWe prove that for any Hausdorff topological vector space E over the field R there exists A⊂E...
AbstractA (locally) κ-Lindelöf κ-stratifiable space is shown to be κ-metrizable. Since the (local) κ...
AbstractIf X is a separable 0-dimensional metrizable space in which every compact subset is countabl...
AbstractA first countable topological group is metrizable. Certain nonfirst countable topological gr...
Wilder [6] and Alexandroff [1] have asked whether every perfectly normal manifold is metrizable. Man...
Abstract. We answer a question of M. Matveev by showing that every mono-tonically compact Hausdorff ...
AbstractVarious separation properties, from normality to monotone normality to proto-metrizability, ...
Monotone normality is usually defined in the class of T_1 spaces. In this paper we study it under th...
AbstractWe show that the following classes of topological spaces coincide: (1) stratifiable μ-spaces...
Inspired by the fact that a compact topological group is hereditarily normal if and only if it is me...
AbstractWe give a mapping space C(X,Y) that is not M3 , where X is a compact metrizable space and Y ...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
AbstractThis paper is motivated by V.V. Uspenskii's results on embeddings of spaces into function sp...
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
AbstractWe prove that for any Hausdorff topological vector space E over the field R there exists A⊂E...
AbstractA (locally) κ-Lindelöf κ-stratifiable space is shown to be κ-metrizable. Since the (local) κ...
AbstractIf X is a separable 0-dimensional metrizable space in which every compact subset is countabl...
AbstractA first countable topological group is metrizable. Certain nonfirst countable topological gr...
Wilder [6] and Alexandroff [1] have asked whether every perfectly normal manifold is metrizable. Man...
Abstract. We answer a question of M. Matveev by showing that every mono-tonically compact Hausdorff ...
AbstractVarious separation properties, from normality to monotone normality to proto-metrizability, ...
Monotone normality is usually defined in the class of T_1 spaces. In this paper we study it under th...
AbstractWe show that the following classes of topological spaces coincide: (1) stratifiable μ-spaces...
Inspired by the fact that a compact topological group is hereditarily normal if and only if it is me...
AbstractWe give a mapping space C(X,Y) that is not M3 , where X is a compact metrizable space and Y ...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
AbstractThis paper is motivated by V.V. Uspenskii's results on embeddings of spaces into function sp...
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
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