AbstractA T1-space X is called subnormal if every two disjoint closed subsets of X are contained in some disjoint Gδ-sets. We present a statement on hereditary subnormality of the product of two spaces which is an extension of Katětov's theorem. It is shown that the fact that all finite powers of a compact Hausdorff space X are hereditarily subnormal does not imply that X is first countable. Some sufficient conditions for hereditary subnormality of products are obtained
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
One of the classical separation axioms of topology is complete normality. A topological space X is c...
AbstractA T1-space X is called subnormal if every two disjoint closed subsets of X are contained in ...
AbstractA space X is said to be subnormal (=δ-normal) if every pair of disjoint closed sets can be s...
AbstractFirst, we prove that the product X × κ of a strong Σ-space X and a cardinal factor κ is (sub...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
In this note we shall investigate some hereditary properties of a subspace of a product space. Let ...
AbstractFirst, we prove that the product X × κ of a strong Σ-space X and a cardinal factor κ is (sub...
AbstractWe show that there is a collection of first-countable spaces such that every countable produ...
AbstractIn 1964 K. Morita introduced the concept of P(m)-spaces which characterized the normality of...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
AbstractIn this paper, we answer the following question of Y. Yajima:Is a Σ-product of semi-stratifi...
Abstract. It is known that every finite power of ω1 is hereditarily collec-tionwise Hausdorff [6], [...
AbstractWe show that there is a collection of first-countable spaces such that every countable produ...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
One of the classical separation axioms of topology is complete normality. A topological space X is c...
AbstractA T1-space X is called subnormal if every two disjoint closed subsets of X are contained in ...
AbstractA space X is said to be subnormal (=δ-normal) if every pair of disjoint closed sets can be s...
AbstractFirst, we prove that the product X × κ of a strong Σ-space X and a cardinal factor κ is (sub...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
In this note we shall investigate some hereditary properties of a subspace of a product space. Let ...
AbstractFirst, we prove that the product X × κ of a strong Σ-space X and a cardinal factor κ is (sub...
AbstractWe show that there is a collection of first-countable spaces such that every countable produ...
AbstractIn 1964 K. Morita introduced the concept of P(m)-spaces which characterized the normality of...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
AbstractIn this paper, we answer the following question of Y. Yajima:Is a Σ-product of semi-stratifi...
Abstract. It is known that every finite power of ω1 is hereditarily collec-tionwise Hausdorff [6], [...
AbstractWe show that there is a collection of first-countable spaces such that every countable produ...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
One of the classical separation axioms of topology is complete normality. A topological space X is c...
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