Pointwise topological convergence and topological graph convergence of set-valued maps


L Holá, G Kwiecí Nska




Let X, Y be topological spaces and {F n : n ∈ ω} be a sequence of set-valued maps from X to Y with the pointwise topological limit G and with the topological graph limit F. We give an answer to the question from ([19]): which conditions on X, Y and/or {F, G, F n : n ∈ ω} are needed to F = G.