On the topology of -metric spaces and generation of -metric spaces from metric spaces.
On the transport of equilibrium states
On the two natural products in a Stone-Cech compactification .
On the Uniform Convergence of Sequences of Open First Baire Class Functions.
On the uniform paracompactness
On the uniform paracompactness of the product of two uniform spaces
On the uniqueness of the decomposition of finite-dimensional ANR-s into Cartesian products of at most l-dimensional spaces
On the uniqueness of the fixed point index on differentiable manifolds.
On the Uniqueness of the Topological Degree.
On the univalence of quasi-isometric mappings
On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of...
On the weak-open images of metric spaces
In this paper, we give characterizations of certain weak-open images of metric spaces.
On the weight of nowhere dense subsets in compact spaces.
On the Whitehead Theorem in shape theory
On the Whitehead theorem in shape theory I
On the ΄΄Fragmentation΄΄ of Certain Pseydocompact Groups
On the -continuous fixed point property.
On the -primitive
On the ω-limit sets of tent maps
For a continuous map f on a compact metric space (X,d), a set D ⊂ X is internally chain transitive if for every x,y ∈ D and every δ > 0 there is a sequence of points ⟨x = x₀,x₁,...,xₙ = y⟩ such that for 0 ≤ i< n. In this paper, we prove that for tent maps with periodic critical point, every closed, internally chain transitive set is necessarily an ω-limit set. Furthermore, we show that there are at least countably many tent maps with non-recurrent critical point for which there is a closed,...
On theorems of Pu & Pu and Grande
Given a finite family of cliquish functions, , we can find a Lebesgue function such that is Darboux and quasi-continuous for every . This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.