On a plane compactum with the maximal shape
On a problem of Banach
On a problem of J. Nagata
On a problem of Lelek concerning open mappings
On a problem of Sikorski
On a product of metric spaces
On a property of pseudometrics and uniformities near to convexity
On a shadowing lemma in metric spaces
In the present paper conditions are studied, under which a pseudo-orbit of a continuous map , where is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map .
On a Suzuki type general fixed point theorem with applications.
On a theorem of P. S. Aleksandrov
On a typical property of functions
On a weak form of uniform convergence
The notion of -convergence of a sequence of functions is stronger than pointwise convergence and weaker than uniform convergence. It is inspired by the investigation of ill-posed problems done by A.N. Tichonov. We answer a question posed by M. Katětov around 1970 by showing that the only analytic metric spaces for which pointwise convergence of a sequence of continuous real valued functions to a (continuous) limit function on implies -convergence are -compact spaces. We show that the assumption...
On almost complete and almost precompact quasi-uniform spaces
On an affirmative answer to Y. Tanaka's and Y. Ge's problem
In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.
On analytical dimension of rings of bounded uniformly continuous functions
On ARU-resolutions of uniform spaces.
On Asymmetric Distances
In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the...
On bicompacta in -products and related spaces
On bicompacta which are unions of two subspaces of a certain type
On bitopological -semi-generalised continuous maps.