O množinách vzdialeností množín metrického priestoru
Observations on spaces with zeroset or regular -diagonals
We show that if has countable extent and has a zeroset diagonal then is submetrizable. We also make a couple of observations regarding spaces with a regular -diagonal.
On 3-topological version of -regularity.
On a certain class of -structures. I
On a certain class of -structures. II
On a certain lattice of topologies on a product of metric spaces
On a Class of Darboux Functions from a Topological Space to a Uniform Space
On a class of real normed lattices
We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that is a quasi-Baire space iff , is a pairwise Baire bitopological space, where , is a quasi-uniformity that determines, in . Nachbin’s sense, the topological ordered space .
On a class of topological spaces with a Scott sentence
On a classification of pointwise compact sets of the first Baire class functions
On a conjecture of Leader
On a construction of universal hereditarily indecomposable continua based on the Baire category
We give a proof of a theorem of Maćkowiak on the existence of universal n-dimensional hereditarily indecomposable continua, based on the Baire-category method.
On a dense -diagonal.
On a family of dendrites.
On a fixed point theorem in metric space
On a form of Ascoli's theorem in locally uniform spaces
On a functional inequality arising in the construction of the product of several metric spaces.
On a generalization of uniformities
On a metrization of the hyperspace of a metric space
On a modified game of Sierpiński