On decompositions of hereditarily unicoherent continua
On decompositions of λ-dendroids
On deductive varieties of locally convex spaces
On dense subspaces of certain topological spaces
On dimension of locally pseudocompact groups and their quotients
On dyadic spaces and almost Milyutin spaces
On endomorphism semigroups of a fuzzily structured set
On equalizers in the category of frames with weakly open homomorphisms
On essential ring embeddings and the epimorphic hull of .
On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets
On extension of functors
A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.
On Extension of Functors onto the Kleisli Category of the Inclusion Hyperspace Monad
It is proved that there exists no extension of any non-trivial weakly normal functor of finite degree onto the Kleisli category of the inclusion hyperspace monad.
On extension of functors to the Kleisli category of some weakly normal monads
The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.
On filling an irreducible continuum with one point union of 2-cells
On filling an irreducible continuum with the Cartesian product of an arc with a simple triod
On filling an irreducible continuum with the Cartesian product of 1-dimensional continua
On finite powers of countably compact groups
We will show that under for each there exists a group whose -th power is countably compact but whose -th power is not countably compact. In particular, for each there exists and a group whose -th power is countably compact but the -st power is not countably compact.
On free topological algebras
On Frolík’s characterization of class