Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
Congruence extension and amalgamation in C£.
Congruences on semigroups of continuous selfmaps.
Congruent Embedding of Metric Quadruples on a Unit Sphere.
Conjugation in spinor spaces Majorana and Weyl spinors
Conley index for set-valued maps: from theory to computation
Recent results on the Conley index theory for discrete multi-valued dynamical systems with their consequences for the computation of the index for representable maps are recapitulated. The terminology is simplified with respect to previous presentations, some superfluous hypotheses are abandoned and some conclusions are proved in a simpler way.
Connected CM-homomorphisms into
Connected CM-homomorphisms into semigroups of closed binary relations on hereditarily locally connected cont inua.
Connected economically metrizable spaces
A topological space is non-separably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image of a non-separably connected complete metric space X under a monotone quotient map. The metric of the space X is economical in the sense that for each infinite subspace A ⊂ X the cardinality of the set does not exceed the density of A, . The construction of the space X determines a functor : Top...
Connected Hausdorff subtopologies
A non-connected, Hausdorff space with a countable network has a connected Hausdorff-subtopology iff the space is not-H-closed. This result answers two questions posed by Tkačenko, Tkachuk, Uspenskij, and Wilson [Comment. Math. Univ. Carolinae 37 (1996), 825–841]. A non-H-closed, Hausdorff space with countable -weight and no connected, Hausdorff subtopology is provided.
Connected LCA groups are sequentially connected
We prove that every connected locally compact Abelian topological group is sequentially connected, i.e., it cannot be the union of two proper disjoint sequentially closed subsets. This fact is then applied to the study of extensions of topological groups. We show, in particular, that if is a connected locally compact Abelian subgroup of a Hausdorff topological group and the quotient space is sequentially connected, then so is .
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 degrees in -fuzzy topological spaces.
Connectedness in fuzzy topology
Connectedness in monotone spaces.
Connectedness in ordered topological spaces
Connectedness of complete metric groups