A constructive “Closed subgroup theorem” for localic groups and groupoids
A few topological problems
A set functor which commutes with all homfunctors is a homfunctor
Accumulation points of nowhere dense sets
Arithmetic Properties of certain partially ordered Semigeroups.
Baire category from an abstract viewpoint
Baire functions and classes bounded by filters
Construction of Cartesian closed topological hulls
Convexity on a topological space
Disconnecting Sets and Decomposition Theories
Eine Anwendung der unendlichwertigen Logik auf topologische Räume
Errata zur Arbeit "Eine Anwendung der unendlichwertigen Logik auf topologische Räume" (Fundamenta Mathematicae 52 (1963), S. 129-150)
Étude de la classification topologique des fonctions unimodales
À l’aide de la théorie des itinéraires et des suites de tricotage, nous étudions la conjugaison topologique des fonctions unimodales. Nous introduisons la notion de conjugaison macroscopique, caractérisée par l’égalité des suites de tricotage. Puis nous présentons un théorème de classification des fonctions unimodales. Pour illustrer ces résultats, nous montrons que l’ensemble des solutions de l’équation de Feigenbaum contient une infinité de classes topologiques.
First order topology [Book]
Further Relationships between Decomposition Theories and Topologies
Fuzzy metrics and statistical metric spaces
Fuzzy topologies
Homogeneous tolerance spaces
Internal, external boundaries and continuous mappings
Metric spaces with point character equal to their size
In this paper we consider the point character of metric spaces. This parameter which is a uniform version of dimension, was introduced in the context of uniform spaces in the late seventies by Jan Pelant, Cardinal reflections and point-character of uniformities, Seminar Uniform Spaces (Prague, 1973–1974), Math. Inst. Czech. Acad. Sci., Prague, 1975, pp. 149–158. Here we prove for each cardinal , the existence of a metric space of cardinality and point character . Since the point character can...