[{"publication_identifier":{"issn":[],"eissn":[]},"publication_status":"published","language":[{}],"volume":20,"abstract":[{"lang":"eng"}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1312.2337"}],"month":"04","intvolume":" 20","date_updated":"2023-08-17T13:50:44Z","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"department":[{"_id":"UlWa","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"_id":"6563","type":"journal_article","article_type":"original","status":"public","isi":1,"day":"01","publication":"Foundations of Computational Mathematics","dc":{"creator":["Filakovský, Marek","Vokřínek, Lukas"],"rights":["info:eu-repo/semantics/openAccess"],"language":["eng"],"title":["Are two given maps homotopic? An algorithmic viewpoint"],"description":["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."],"identifier":["https://research-explorer.ista.ac.at/record/6563"],"source":["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"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s10208-019-09419-x","info:eu-repo/semantics/altIdentifier/issn/16153375","info:eu-repo/semantics/altIdentifier/issn/16153383","info:eu-repo/semantics/altIdentifier/wos/000522437400004","info:eu-repo/semantics/altIdentifier/arxiv/1312.2337","info:eu-repo/grantAgreement/FWF//P31312"],"publisher":["Springer Nature"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"date":["2020"]},"page":"311-330","uri_base":"https://research-explorer.ista.ac.at","date_published":"2020-04-01T00:00:00Z","date_created":"2019-06-16T21:59:14Z","quality_controlled":"1","oa":1,"citation":{"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.","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","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.","ista":"Filakovský M, Vokřínek L. 2020. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 20, 311–330.","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."},"dini_type":"doc-type:article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Filakovský","first_name":"Marek","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Vokřínek","first_name":"Lukas"}],"external_id":{"isi":[],"arxiv":[]},"article_processing_charge":"No","project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory"}]}]