A Boolean view of sequential compactness
A class of spaces whose Cartesian product with every hereditarily Lindelöf space in Lindelöf
A constructive proof of the Tychonoff's theorem for locales
A countably compact, separable space which is not absolutely countably compact
We construct a space having the properties in the title, and with the same technique, a countably compact topological group which is not absolutely countably compact.
A counterexample concerning products in the shape category
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
A few topological problems
A generalized continuity and product spaces
A large -discrete Fréchet space having the Souslin property
A Lindelöf space X such that is normal but not paracompact
A nice class extracted from -theory
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, -stable and -monolithic. It is also established that any Sokolov compact space is Fréchet-Urysohn and the space is Lindelöf. We prove that any Sokolov space with a -diagonal has a countable network and obtain some cardinality restrictions on subsets...
A normal space X for which X×I is not normal
A note on collectionwise normality and product spaces
A note on neighborhood product spaces
A note on product of topological spaces (Preliminary communication)
A note on products of Fréchet spaces
A note on spaces with countable extent
Let be a topological property. A space is said to be star P if whenever is an open cover of , there exists a subspace with property such that . 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
A remark on the tightness of products
We observe the existence of a -compact, separable topological group and a countable topological group such that the tightness of is countable, but the tightness of is equal to .
A remark on -regular spaces.