Add to ORKGAbstract. We answer several questions of Levy and Shapiro, and Henrik-sen and Woods, on products of cozero complemented spaces. Among other things, we show that the product of a cozero complemented space with a metrizable space need not be cozero complemented unless the metrizable factor is separable, the product of a non-cozero complemented space and a metrizable space can be cozero complemented, the product of a cozero complemented space and a countable regular space need not be cozero com-plemented, and that it is consistent that the product of two compact spaces satisfying the countable chain condition need not be cozero complemented. 1
The F'-spaces studied here, introduced by Leonard Gill-man and Melvin Henriksen, are by definit...
summary:Yakovlev [{\it On bicompacta in $\Sigma $-products and related spaces\/}, Comment. Math. Uni...
this paper we show that nondeterministic space s(n) is closed under complementation, for s(n) greate...
Abstract. We answer several questions of Levy and Shapiro, and Henriksen and Woods, on products of c...
AbstractIf X is a Tychonoff space, C(X) its ring of real-valued continuous functions, and f∈ C(X), t...
If X is a Tychonoff space, C(X) its ring of real-valued continuous functions, and f C(X), then the c...
Abstract. α is a regular cardinal number or the symbol ∞, and X is a compact Hausdorff space. It is ...
We show that X is cofinitely projective if and only if it is a finite union of Alexandroff compactat...
This paper is dedicated to John C. Oxtoby, who sparked the author's interest in the subject. In...
summary:We show in ZF that: (i) Every subcompact metrizable space is completely metrizable, and ever...
AbstractThe thrust of the paper is toward answering “What conditions on X and Y are sufficient to in...
Perfect mappings in topological groups, cross-complementary subsets and quotients A.V. Arhangel’skii...
We prove that there is a compact space $L$ and a complemented subspace of the Banach space $C(L)$ wh...
AbstractWe will prove that an M-space need not be countably-compact-ifiable. This implies that in th...
summary:We show that the product of a compact, sequential $T_2$ space with an hereditarily absolutel...
The F'-spaces studied here, introduced by Leonard Gill-man and Melvin Henriksen, are by definit...
summary:Yakovlev [{\it On bicompacta in $\Sigma $-products and related spaces\/}, Comment. Math. Uni...
this paper we show that nondeterministic space s(n) is closed under complementation, for s(n) greate...
Abstract. We answer several questions of Levy and Shapiro, and Henriksen and Woods, on products of c...
AbstractIf X is a Tychonoff space, C(X) its ring of real-valued continuous functions, and f∈ C(X), t...
If X is a Tychonoff space, C(X) its ring of real-valued continuous functions, and f C(X), then the c...
Abstract. α is a regular cardinal number or the symbol ∞, and X is a compact Hausdorff space. It is ...
We show that X is cofinitely projective if and only if it is a finite union of Alexandroff compactat...
This paper is dedicated to John C. Oxtoby, who sparked the author's interest in the subject. In...
summary:We show in ZF that: (i) Every subcompact metrizable space is completely metrizable, and ever...
AbstractThe thrust of the paper is toward answering “What conditions on X and Y are sufficient to in...
Perfect mappings in topological groups, cross-complementary subsets and quotients A.V. Arhangel’skii...
We prove that there is a compact space $L$ and a complemented subspace of the Banach space $C(L)$ wh...
AbstractWe will prove that an M-space need not be countably-compact-ifiable. This implies that in th...
summary:We show that the product of a compact, sequential $T_2$ space with an hereditarily absolutel...
The F'-spaces studied here, introduced by Leonard Gill-man and Melvin Henriksen, are by definit...
summary:Yakovlev [{\it On bicompacta in $\Sigma $-products and related spaces\/}, Comment. Math. Uni...
this paper we show that nondeterministic space s(n) is closed under complementation, for s(n) greate...