AbstractAssume that X⊆R∖Q, and each clopen-valued lower semicontinuous multivalued map Φ:X⇒Q has a continuous selection ϕ:X→Q. Our main result is that in this case, X is a σ-space. We also derive a partial converse implication, and present a reformulation of the Scheepers Conjecture in the language of continuous selections
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
AbstractWe prove that every LΣ(n)-space (that is, the image of a separable metrizable space under an...
AbstractA continuous zero-selection f for the Vietoris hyperspace F(X) of the nonempty closed subset...
AbstractAssume that X⊆R∖Q, and each clopen-valued lower semicontinuous multivalued map Φ:X⇒Q has a c...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
Let USCp ⋆(X) be the topological space of real upper semicontinuous bounded functions defined on X w...
AbstractAs a rule, the classical Michael-type selection theorems for the existence of single-valued ...
[[abstract]]In this paper, we obtain several new continuous selection theorems for almost lower semi...
AbstractWe characterize strong paracompactness in terms of usco multi-selections for closed-valued l...
AbstractThe principal purpose of this paper is to give new proofs of two theorems of G.M. Nepomnyash...
AbstractIt is shown that every l.s.c. closed-and-convex valued mapping Φ:X→2Y, where X is a heredita...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractWe begin by a short survey of various attempts in selection theory to avoid the closedness a...
AbstractThis paper is devoted to the problem of selections. An important result in this area is Mich...
AbstractApplying the continuous selection theorem given by K. Przestawski and L. Rybiński (Michael s...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
AbstractWe prove that every LΣ(n)-space (that is, the image of a separable metrizable space under an...
AbstractA continuous zero-selection f for the Vietoris hyperspace F(X) of the nonempty closed subset...
AbstractAssume that X⊆R∖Q, and each clopen-valued lower semicontinuous multivalued map Φ:X⇒Q has a c...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
Let USCp ⋆(X) be the topological space of real upper semicontinuous bounded functions defined on X w...
AbstractAs a rule, the classical Michael-type selection theorems for the existence of single-valued ...
[[abstract]]In this paper, we obtain several new continuous selection theorems for almost lower semi...
AbstractWe characterize strong paracompactness in terms of usco multi-selections for closed-valued l...
AbstractThe principal purpose of this paper is to give new proofs of two theorems of G.M. Nepomnyash...
AbstractIt is shown that every l.s.c. closed-and-convex valued mapping Φ:X→2Y, where X is a heredita...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractWe begin by a short survey of various attempts in selection theory to avoid the closedness a...
AbstractThis paper is devoted to the problem of selections. An important result in this area is Mich...
AbstractApplying the continuous selection theorem given by K. Przestawski and L. Rybiński (Michael s...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
AbstractWe prove that every LΣ(n)-space (that is, the image of a separable metrizable space under an...
AbstractA continuous zero-selection f for the Vietoris hyperspace F(X) of the nonempty closed subset...
DOI
Add to ORKG