AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant selection. This problem has been investigated from different points of view, purely topological or convex. We present here a synthesis of some of the most interesting results, with some generalizations and new insights
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
AbstractA function ψ:[X]2→X is a called a weak selection if ψ({x,y})∈{x,y} for every x,y∈X. To each ...
AbstractIn this paper, we give a characteristic of abstract convexity structures on topological spac...
Abstract. We investigate abstract boundedness in a topological space and demonstrate the importance ...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
We study continuous selectors σ: Fτ (X) → X where Fτ (X) is a hyperspace of non-empty closed subsets...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
AbstractA function ψ:[X]2→X is a called a weak selection if ψ({x,y})∈{x,y} for every x,y∈X. To each ...
AbstractIn this paper, we give a characteristic of abstract convexity structures on topological spac...
Abstract. We investigate abstract boundedness in a topological space and demonstrate the importance ...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
We study continuous selectors σ: Fτ (X) → X where Fτ (X) is a hyperspace of non-empty closed subsets...
International audienceIn the spirit of Michael selection theorem (Theorem 3.1′′′, 1956), we consider...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
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