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Maya, David; Pellicer-Covarrubias, Patricia; Pichardo-Mendoza, Roberto
Topology and its applications, 09/2017, Letnik: 229Journal Article
The symbol Sc(X) denotes the hyperspace of all nontrivial convergent sequences in a Hausdorff space X. This hyperspace is endowed with the Vietoris topology. For a given mapping between Hausdorff spaces f:X→Y, define the induced mapping Sc(f) by Sc(f)(A)=fA (the image of A under f) for every A∈Sc(X). In the current paper, we study under which conditions the fact that f belongs to a given class of mappings M implies that Sc(f) belongs to M, and vice versa.
