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@article{1161826, author = {Čadek, Martin and Krčál, Marek and Matoušek, Jiří and Vokřínek, Lukáš and Wagner, Uli}, article_number = {1}, doi = {http://dx.doi.org/10.1007/s00454-013-9551-8}, keywords = {extension problem ; homotopy group; undecidability; hardness}, language = {eng}, issn = {0179-5376}, journal = {Discrete & Computational Geometry}, title = {Extendability of Continuous Maps Is Undecidable}, url = {http://link.springer.com/article/10.1007/s00454-013-9551-8/fulltext.html}, volume = {51}, year = {2014} }
TY - JOUR ID - 1161826 AU - Čadek, Martin - Krčál, Marek - Matoušek, Jiří - Vokřínek, Lukáš - Wagner, Uli PY - 2014 TI - Extendability of Continuous Maps Is Undecidable JF - Discrete & Computational Geometry VL - 51 IS - 1 SP - 24-66 EP - 24-66 SN - 01795376 KW - extension problem KW - homotopy group KW - undecidability KW - hardness UR - http://link.springer.com/article/10.1007/s00454-013-9551-8/fulltext.html L2 - http://link.springer.com/article/10.1007/s00454-013-9551-8/fulltext.html N2 - 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. ER -
ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK a Uli WAGNER. Extendability of Continuous Maps Is Undecidable. \textit{Discrete \&{} Computational Geometry}. 2014, roč.~51, č.~1, s.~24-66. ISSN~0179-5376. Dostupné z: https://dx.doi.org/10.1007/s00454-013-9551-8.
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