[EN] We give sufficient conditions on a uniformly continuous map f: (X,U) → (Y, V ) between completable T1-pre-uniform spaces (X,U), (Y, V ) to have a continuous or a uniformly continuous extension f:X → Y between the corresponding completions.García-Máynez, A.; Mancio-Toledo, R. (2012). Extending maps between pre-uniform spaces. Applied General Topology. 13(1):21-25. doi:10.4995/agt.2012.1634.2125131García-Máynez, A., & Mancio-Toledo, R. (2007). Completions of pre–uniform spaces. Applied General Topology, 8(2), 213-221. doi:10.4995/agt.2007.1882D. Harris, Structures in Topology, Memoirs of The American Mathematical Society, No. 115, Providence, Rhode Island, AMS, 1971
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of ...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractIt is well known that for any bounded Lipschitz graph domain Ω⊂Rd, r≥1 and 1≤p≤∞ there exist...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractWe prove that if X and Y are compact Hausdorff spaces, then every f ∈ C(X × Y)+, i.e. f(x, y...
In this paper, we introduce a new class of sets called, δ-preregular e*-open sets and investigate th...
AbstractDefining a subset B of a connected topological space T to be a barrier (in T) if B is connec...
AbstractBy means of continuation theorem of coincidence degree theory, we study a kind of Liénard eq...
summary:We prove the interior Hölder continuity of weak solutions to parabolic systems $$ \frac{\par...
AbstractFor a nonempty closed subset Ω of {0,1}Σ, where Σ is a countably infinite set, let pΩ(S)≔#πS...
summary:We prove ratio Tauberian theorems for relatively bounded functions and sequences in Banach s...
AbstractIn this paper, some new results about the existence of positive solutions for singular semi-...
We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere Sdinto its...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
AbstractThe aim of this work is to introduce and study the notions of L-fuzzifying preproximity spac...
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of ...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractIt is well known that for any bounded Lipschitz graph domain Ω⊂Rd, r≥1 and 1≤p≤∞ there exist...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractWe prove that if X and Y are compact Hausdorff spaces, then every f ∈ C(X × Y)+, i.e. f(x, y...
In this paper, we introduce a new class of sets called, δ-preregular e*-open sets and investigate th...
AbstractDefining a subset B of a connected topological space T to be a barrier (in T) if B is connec...
AbstractBy means of continuation theorem of coincidence degree theory, we study a kind of Liénard eq...
summary:We prove the interior Hölder continuity of weak solutions to parabolic systems $$ \frac{\par...
AbstractFor a nonempty closed subset Ω of {0,1}Σ, where Σ is a countably infinite set, let pΩ(S)≔#πS...
summary:We prove ratio Tauberian theorems for relatively bounded functions and sequences in Banach s...
AbstractIn this paper, some new results about the existence of positive solutions for singular semi-...
We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere Sdinto its...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
AbstractThe aim of this work is to introduce and study the notions of L-fuzzifying preproximity spac...
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of ...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractIt is well known that for any bounded Lipschitz graph domain Ω⊂Rd, r≥1 and 1≤p≤∞ there exist...