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Displaying 1 – 20 of 27

A Boolean view of sequential compactness

David Booth (1974)

Fundamenta Mathematicae

A class of spaces whose Cartesian product with every hereditarily Lindelöf space in Lindelöf

K. Alster (1981)

Fundamenta Mathematicae

A constructive proof of the Tychonoff's theorem for locales

Igor Kříž (1985)

Commentationes Mathematicae Universitatis Carolinae

A countably compact, separable space which is not absolutely countably compact

Jerry E. Vaughan (1995)

Commentationes Mathematicae Universitatis Carolinae

We construct a space having the properties in the title, and with the same technique, a countably compact $T_{2}$ topological group which is not absolutely countably compact.

A counterexample concerning products in the shape category

J. Dydak, S. Mardešić (2005)

Fundamenta Mathematicae

We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.

A few Remarks on Reduced Ideal-products

Milan Grulović, Miloš Kurilić (1995)

Publications de l'Institut Mathématique

A few topological problems

Mary Ellen Rudin (1988)

Commentationes Mathematicae Universitatis Carolinae

A generalized continuity and product spaces

Tibor Neubrunn (1976)

Mathematica Slovaca

A large $F_{σ}$ -discrete Fréchet space having the Souslin property

Vladimir Vladimirovich Uspenskij (1984)

Commentationes Mathematicae Universitatis Carolinae

A Lindelöf space X such that $X^{2}$ is normal but not paracompact

T. Przymusiński (1973)

Fundamenta Mathematicae

A nice class extracted from $C_{p}$ -theory

Vladimir Vladimirovich Tkachuk (2005)

Commentationes Mathematicae Universitatis Carolinae

We study systematically a class of spaces introduced by Sokolov and call them Sokolov spaces. Their importance can be seen from the fact that every Corson compact space is a Sokolov space. We show that every Sokolov space is collectionwise normal, $ω$ -stable and $ω$ -monolithic. It is also established that any Sokolov compact space $X$ is Fréchet-Urysohn and the space $C_{p} (X)$ is Lindelöf. We prove that any Sokolov space with a $G_{δ}$ -diagonal has a countable network and obtain some cardinality restrictions on subsets...

A normal space X for which X×I is not normal

Marry Rudin (1971)

Fundamenta Mathematicae

A note on collectionwise normality and product spaces

Teodor Przymusiński (1975)

Colloquium Mathematicae

A note on neighborhood product spaces

Z. P. Mmuzić (1972)

Matematički Vesnik

A note on product of topological spaces (Preliminary communication)

Věra Trnková (1972)

Commentationes Mathematicae Universitatis Carolinae

A note on products of Fréchet spaces

Josef Novák (1997)

Czechoslovak Mathematical Journal

A note on spaces with countable extent

Yan-Kui Song (2017)

Commentationes Mathematicae Universitatis Carolinae

Let $P$ be a topological property. A space $X$ is said to be star P if whenever $𝒰$ is an open cover of $X$ , there exists a subspace $A \subseteq X$ with property $P$ such that $X = S t (A, 𝒰)$ . In this note, we construct a Tychonoff pseudocompact SCE-space which is not star Lindelöf, which gives a negative answer to a question of Rojas-Sánchez and Tamariz-Mascarúa.

A property of the Sorgenfrey line

Robert W. Heath, Ernest A. Michael (1971)

Compositio Mathematica

A remark on the tightness of products

Oleg Okunev (1996)

Commentationes Mathematicae Universitatis Carolinae

We observe the existence of a $σ$ -compact, separable topological group $G$ and a countable topological group $H$ such that the tightness of $G$ is countable, but the tightness of $G \times H$ is equal to $𝔠$ .

A remark on $Θ$ -regular spaces.

Kovár, Martin M. (1998)

International Journal of Mathematics and Mathematical Sciences

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