{"citation":{"ama":"Filakovský M, Vokřínek L. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 2020;20:311-330. doi:10.1007/s10208-019-09419-x","chicago":"Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” Foundations of Computational Mathematics. Springer Nature, 2020. https://doi.org/10.1007/s10208-019-09419-x.","apa":"Filakovský, M., & Vokřínek, L. (2020). Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. Springer Nature. https://doi.org/10.1007/s10208-019-09419-x","ieee":"M. Filakovský and L. Vokřínek, “Are two given maps homotopic? An algorithmic viewpoint,” Foundations of Computational Mathematics, vol. 20. Springer Nature, pp. 311–330, 2020.","short":"M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.","ista":"Filakovský M, Vokřínek L. 2020. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 20, 311–330.","mla":"Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” Foundations of Computational Mathematics, vol. 20, Springer Nature, 2020, pp. 311–30, doi:10.1007/s10208-019-09419-x."},"publication":"Foundations of Computational Mathematics","month":"04","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1312.2337"}],"scopus_import":"1","volume":20,"publication_status":"published","isi":1,"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_updated":"2023-08-17T13:50:44Z","author":[{"first_name":"Marek","last_name":"Filakovský","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","full_name":"Filakovský, Marek"},{"first_name":"Lukas","last_name":"Vokřínek","full_name":"Vokřínek, Lukas"}],"external_id":{"isi":["000522437400004"],"arxiv":["1312.2337"]},"quality_controlled":"1","doi":"10.1007/s10208-019-09419-x","_id":"6563","year":"2020","publisher":"Springer Nature","article_type":"original","type":"journal_article","date_published":"2020-04-01T00:00:00Z","oa_version":"Preprint","abstract":[{"text":"This paper presents two algorithms. The first decides the existence of a pointed homotopy between given simplicial maps 𝑓,𝑔:𝑋→𝑌, and the second computes the group [𝛴𝑋,𝑌]∗ of pointed homotopy classes of maps from a suspension; in both cases, the target Y is assumed simply connected. More generally, these algorithms work relative to 𝐴⊆𝑋.","lang":"eng"}],"oa":1,"department":[{"_id":"UlWa"}],"title":"Are two given maps homotopic? An algorithmic viewpoint","article_processing_charge":"No","language":[{"iso":"eng"}],"date_created":"2019-06-16T21:59:14Z","publication_identifier":{"issn":["16153375"],"eissn":["16153383"]},"intvolume":" 20","project":[{"name":"Algorithms for Embeddings and Homotopy Theory","_id":"26611F5C-B435-11E9-9278-68D0E5697425","grant_number":"P31312","call_identifier":"FWF"}],"day":"01","page":"311-330"}