Connectedness in monotone spaces.
Connectedness in ordered topological spaces
Connections between connected topological spaces on the set of positive integers
In this paper we introduce a connected topology T on the set ℕ of positive integers whose base consists of all arithmetic progressions connected in Golomb’s topology. It turns out that all arithmetic progressions which are connected in the topology T form a basis for Golomb’s topology. Further we examine connectedness of arithmetic progressions in the division topology T′ on ℕ which was defined by Rizza in 1993. Immediate consequences of these studies are results concerning local connectedness of...
Connectivity properties for subspaces of function spaces determined by fixed points.
Connectivity properties in hyperspaces and product spaces
Connectivity properties of sequential Boolean algebras
Connexité locale
Constrained optimization: A general tolerance approach
To overcome the somewhat artificial difficulties in classical optimization theory concerning the existence and stability of minimizers, a new setting of constrained optimization problems (called problems with tolerance) is proposed using given proximity structures to define the neighbourhoods of sets. The infimum and the so-called minimizing filter are then defined by means of level sets created by these neighbourhoods, which also reflects the engineering approach to constrained optimization problems....
Constructing Banaschewski compactification without Dedekind completeness axiom.
Construction functors for topological semigroups.
Construction of right topological compactifications for discrete versions of subsemigroups of compact groups.
Constructive irrational space.
Containing spaces for planar rational compacta [Book]
Continua with the periodic-recurrent property.
Continuous extenders for pseudometrics
Continuous extenders in normal and collectionwise normal spaces
Continuous extensions: answer to a question of Hanner
Continuous functions on countable subspaces
Continuous images and other topological properties of Valdivia compacta
We study topological properties of Valdivia compact spaces. We prove in particular that a compact Hausdorff space K is Corson provided each continuous image of K is a Valdivia compactum. This answers a question of M. Valdivia (1997). We also prove that the class of Valdivia compacta is stable with respect to arbitrary products and we give a generalization of the fact that Corson compacta are angelic.
Continuous images of which are homeomorphic to .