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Displaying 141 – 160 of 295

On powers of Lindelöf spaces

Isaac Gorelic (1994)

Commentationes Mathematicae Universitatis Carolinae

We present a forcing construction of a Hausdorff zero-dimensional Lindelöf space $X$ whose square $X^{2}$ is again Lindelöf but its cube $X^{3}$ has a closed discrete subspace of size $𝔠^{+}$ , hence the Lindelöf degree $L (X^{3}) = 𝔠^{+}$ . In our model the Continuum Hypothesis holds true. After that we give a description of a forcing notion to get a space $X$ such that $L (X^{n}) = ℵ_{0}$ for all positive integers $n$ , but $L (X^{ℵ_{0}}) = 𝔠^{+} = ℵ_{2}$ .

On Preservation Of Normality.

H.Z. Hdeib (1981)

Revista colombiana de matematicas

On products of incompressible AR's

Sukhjit Singh (1983)

Fundamenta Mathematicae

On products of pseudoradial ѕpaces

Eva Murtinová (1999)

Acta Universitatis Carolinae. Mathematica et Physica

On proximity ordered spaces

R. Dimitrijević (1978)

Matematički Vesnik

On some spaces which are covered by a product space

Izu Vaisman (1977)

Annales de l'institut Fourier

In this note, a topological version of the results obtained, in connection with the de Rham reducibility theorem (Comment. Math. Helv., 26 ( 1952), 328–344), by S. Kashiwabara (Tôhoku Math. J., 8 (1956), 13–28), (Tôhoku Math. J., 11 (1959), 327–350) and Ia. L. Sapiro (Izv. Bysh. Uceb. Zaved. Mat. no6, (1972), 78–85, Russian), (Izv. Bysh. Uceb. Zaved. Mat. no4, (1974), 104–113, Russian) is given. Thus a characterization of a class of topological spaces covered by a product space is obtained and the...

On spaces whose product with every Lindelöf space is Lindelöf

Kazimierz Alster (1987)

Colloquium Mathematicae

On spaces with the property of weak approximation by points

Angelo Bella (1994)

Commentationes Mathematicae Universitatis Carolinae

A sufficient condition that the product of two compact spaces has the property of weak approximation by points (briefly WAP) is given. It follows that the product of the unit interval with a compact WAP space is also a WAP space.

On $𝒦$ -starcompact spaces.

Song, Yan-Kui (2007)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On $ℒ$ -starcompact spaces

Yan-Kui Song (2006)

Czechoslovak Mathematical Journal

A space $X$ is $ℒ$ -starcompact if for every open cover $𝒰$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $S t (L, 𝒰) = X .$ We clarify the relations between $ℒ$ -starcompact spaces and other related spaces and investigate topological properties of $ℒ$ -starcompact spaces. A question of Hiremath is answered.

On supercomplete uniform spaces IV: Countable products

Aarno Hohti, Jan Pelant (1990)

Fundamenta Mathematicae

On supercomplete uniform spaces V: Tamano's product problem

Aarno Hohti (1990)

Fundamenta Mathematicae

On symmetric products

Juliusz Olędzki (1988)

Fundamenta Mathematicae

On the 2-homogeneity of Cartesian products

Krystyna Kuperberg, W. Kuperberg, W. Transue (1980)

Fundamenta Mathematicae

On the cardinality of power homogeneous Hausdorff spaces

G. J. Ridderbos (2006)

Fundamenta Mathematicae

We prove that the cardinality of power homogeneous Hausdorff spaces X is bounded by $d {(X)}^{π χ (X)}$ . This inequality improves many known results and it also solves a question by J. van Mill. We further introduce Δ-power homogeneity, which leads to a new proof of van Douwen’s theorem.

On the class of all spaces of weight not greater than ω_1 whose Cartesian product with every Lindelöf space is Lindelöf

K. Alster (1988)

Fundamenta Mathematicae

On the Compactness and Countable Compactness of $2^{ℝ}$ in ZF

Kyriakos Keremedis, Evangelos Felouzis, Eleftherios Tachtsis (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

In the framework of ZF (Zermelo-Fraenkel set theory without the Axiom of Choice) we provide topological and Boolean-algebraic characterizations of the statements " $2^{ℝ}$ is countably compact" and " $2^{ℝ}$ is compact"

Currently displaying 141 – 160 of 295

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Displaying 141 – 160 of 295

On powers of Lindelöf spaces

On Preservation Of Normality.

On products of incompressible AR's

On products of pseudoradial ѕpaces

On proximity ordered spaces

On some spaces which are covered by a product space

On spaces whose product with every Lindelöf space is Lindelöf

On spaces with the property of weak approximation by points

On $𝒦$ -starcompact spaces.

On $ℒ$ -starcompact spaces

On supercomplete uniform spaces IV: Countable products

On supercomplete uniform spaces V: Tamano's product problem

On symmetric products

On the 2-homogeneity of Cartesian products

On the cardinality of power homogeneous Hausdorff spaces

On the class of all spaces of weight not greater than ω_1 whose Cartesian product with every Lindelöf space is Lindelöf

On the Compactness and Countable Compactness of $2^{ℝ}$ in ZF

On the deficiency of product spaces

On the division by Rn.

On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2

Currently displaying 141 – 160 of 295