Continuous mappings and Cauchy sequences
Continuous Uniformities.
Contractive fixed points
Convergence of a sequence of fixed points in a uniform space
Correction to my paper: “Remark on locally fine spaces” [Comment. Math. Univ. Carolinae 16 (1975), 501-504]
Correction to my paper "Topological contraction principle" (Fundamenta Mathematicae 110 (1980), pp. 135-144)
Correction to : “Precompact contraction of metric uniformities and the continuity of ”
Countable products of Čech-scattered supercomplete spaces
We prove by using well-founded trees that a countable product of supercomplete spaces, scattered with respect to Čech-complete subsets, is supercomplete. This result extends results given in [Alstera], [Friedlera], [Frolika], [HohtiPelantb], [Pelanta] and its proof improves that given in [HohtiPelantb].
Covering maps for locally path-connected spaces
We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locally path-connected spaces. Regular Peano covering maps over path-connected spaces are shown to be identical with generalized regular covering maps introduced by Fischer and Zastrow....
Covering properties for s with nested bases.
Cozero and Baire maps on products of uniform spaces
Densely continuous forms, pointwise topology and cardinal functions
We consider the space of densely continuous forms introduced by Hammer and McCoy and investigated also by Holá . We show some additional properties of and investigate the subspace of locally bounded real-valued densely continuous forms equipped with the topology of pointwise convergence . The largest part of the paper is devoted to the study of various cardinal functions for , in particular: character, pseudocharacter, weight, density, cellularity, diagonal degree, -weight, -character,...
Die Limes-Uniformisierbarkeit der Limesräume.
Diffeomorphism groups on noncompact manifolds
Distinguishable sets
Doitchinov's Construct of Supertopological Spaces is Topological
It is shown that the construct of supertopological spaces and continuous maps is topological.
Durch Äquivalenzrelationen beschreibbare uniforme Strukturen.
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Ensembles bornés dans un espace uniforme
Entourage Uniformities for Frames.