Connected spaces which are not strongly connected
Connectedness and local connectedness of topological groups and extensions
It is shown that both the free topological group and the free Abelian topological group on a connected locally connected space are locally connected. For the Graev’s modification of the groups and , the corresponding result is more symmetric: the groups and are connected and locally connected if is. However, the free (Abelian) totally bounded group (resp., ) is not locally connected no matter how “good” a space is. The above results imply that every non-trivial continuous homomorphism...
Connectedness and strong semicontinuity
Connectedness in fuzzy topology
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