{"abstract":[{"lang":"eng","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."}],"date_updated":"2023-08-17T13:50:44Z","language":[{"iso":"eng"}],"publisher":"Springer Nature","author":[{"last_name":"Filakovský","first_name":"Marek","full_name":"Filakovský, Marek","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Vokřínek, Lukas","first_name":"Lukas","last_name":"Vokřínek"}],"intvolume":"        20","scopus_import":"1","doi":"10.1007/s10208-019-09419-x","_id":"6563","department":[{"_id":"UlWa"}],"publication":"Foundations of Computational Mathematics","external_id":{"isi":["000522437400004"],"arxiv":["1312.2337"]},"date_created":"2019-06-16T21:59:14Z","status":"public","citation":{"apa":"Filakovský, M., &#38; Vokřínek, L. (2020). Are two given maps homotopic? An algorithmic viewpoint. <i>Foundations of Computational Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10208-019-09419-x\">https://doi.org/10.1007/s10208-019-09419-x</a>","chicago":"Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” <i>Foundations of Computational Mathematics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10208-019-09419-x\">https://doi.org/10.1007/s10208-019-09419-x</a>.","short":"M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.","ama":"Filakovský M, Vokřínek L. Are two given maps homotopic? An algorithmic viewpoint. <i>Foundations of Computational Mathematics</i>. 2020;20:311-330. doi:<a href=\"https://doi.org/10.1007/s10208-019-09419-x\">10.1007/s10208-019-09419-x</a>","mla":"Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” <i>Foundations of Computational Mathematics</i>, vol. 20, Springer Nature, 2020, pp. 311–30, doi:<a href=\"https://doi.org/10.1007/s10208-019-09419-x\">10.1007/s10208-019-09419-x</a>.","ieee":"M. Filakovský and L. Vokřínek, “Are two given maps homotopic? An algorithmic viewpoint,” <i>Foundations of Computational Mathematics</i>, vol. 20. Springer Nature, pp. 311–330, 2020.","ista":"Filakovský M, Vokřínek L. 2020. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 20, 311–330."},"day":"01","publication_status":"published","year":"2020","article_type":"original","quality_controlled":"1","oa":1,"article_processing_charge":"No","publication_identifier":{"issn":["16153375"],"eissn":["16153383"]},"title":"Are two given maps homotopic? An algorithmic viewpoint","volume":20,"oa_version":"Preprint","page":"311-330","month":"04","project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","grant_number":"P31312","name":"Algorithms for Embeddings and Homotopy Theory"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","type":"journal_article","date_published":"2020-04-01T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1312.2337","open_access":"1"}],"isi":1}