| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5777810 | Topology and its Applications | 2017 | 21 Pages |
Abstract
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:XâY, define the induced mapping Sc(f) by Sc(f)(A)=f[A] (the image of A under f) for every AâSc(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
David Maya, Patricia Pellicer-Covarrubias, Roberto Pichardo-Mendoza,