Informace o publikaci
Extendability of Continuous Maps Is Undecidable
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Discrete & Computational Geometry |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://link.springer.com/article/10.1007/s00454-013-9551-8/fulltext.html |
| Doi | http://dx.doi.org/10.1007/s00454-013-9551-8 |
| Obor | Obecná matematika |
| Klíčová slova | extension problem ; homotopy group; undecidability; hardness |
| Popis | Given topological spaces X and Y, a subspace A of X, and a continuous map f from A to Y, decide whether f can be extended to a continuous map F from X to Y. All spaces are given as finite simplicial complexes, and the map f is simplicial. The paper shows that for dimX=2k, the extension problem with (k minus 1) connected Y becomes undecidable. |
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