On 3-topological version of -regularity.
On a cardinal invariant resembling the Souslin number
On a category of spaces
On a certain class of -structures. I
On a certain class of -structures. II
On a certain lattice of topologies on a product of metric spaces
On a certain map of a triangle
The paper answers some questions asked by Sharkovski concerning the map F:(u,v) ↦ (u(4-u-v),uv) of the triangle Δ = u,v ≥ 0: u+v ≤ 4. We construct an absolutely continuous σ-finite invariant measure for F. We also prove the following strange phenomenon. The preimages of side I = Δ ∩ v=0 form a dense subset of Δ and there is another dense set Λ consisting of points whose orbits approach the interval I but are not attracted by I.
On a characterization of normal and countably paracompact spaces via set-avoiding selections
We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections.
On a characterization of quasicontinuous multifunctions
On a characterization of the unit interval in terms of clones
This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
On a class of almost discrete, abstract
On a class of continuous flow.
On a class of continuous mappings
On a Class of Darboux Functions from a Topological Space to a Uniform Space
On a class of indecomposable continua
On a class of multi-valued vector fields in Banach spaces
On a class of real normed lattices
We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that is a quasi-Baire space iff , is a pairwise Baire bitopological space, where , is a quasi-uniformity that determines, in . Nachbin’s sense, the topological ordered space .
On a class of spaces for which the fixed-point property is characterized by homology groups
On a class of subalgebras of C(X) with applications to βX
On a class of topological spaces containing all bicompact and all connected spaces