Inversion-closed space has Daniell property
Investigating the ANR-property of metric spaces
Irreducible mapping and the lightness of open mappings.
Irreducible mappings and HU-terminal continua.
Irresolvable countable spaces of weight less than
We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .
Isometrien des Konvexringes
Isometrien in metrischen Vektorräumen
Isometries in ordered groups
Isometries of Measure Algebras.
Isometry groups of non standard metric products
We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.
Isomorphisms of products
Iterative and metric algebraic theories
Jeu de Choquet
Joint continuity of function spaces
-systems, -networks and -covers
The concepts of -systems, -networks and -covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among -systems, -networks and -covers are further discussed and are established by -systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of -systems.
Kannan-type cyclic contraction results in -Menger space
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of -norm in our theorems. In our first theorem we use a Hadzic-type -norm. We use the minimum -norm in our second theorem. We prove our second theorem by different arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example....
-continuous partitions of unity on normed spaces
-Ponomarev’s System and Images of Locally Separable Metric Spaces
La categoría-base de los abiertos regulares de un espacio topológico.
La completion universelle d'un espace metrique.