{"scopus_import":"1","article_number":"17","file_date_updated":"2026-02-23T10:18:52Z","citation":{"mla":"Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” <i>La Matematica</i>, vol. 5, 17, Springer Nature, 2026, doi:<a href=\"https://doi.org/10.1007/s44007-025-00183-9\">10.1007/s44007-025-00183-9</a>.","ieee":"Y. Bleile, “Towards stratified space learning: 2-complexes,” <i>La Matematica</i>, vol. 5. Springer Nature, 2026.","ama":"Bleile Y. Towards stratified space learning: 2-complexes. <i>La Matematica</i>. 2026;5. doi:<a href=\"https://doi.org/10.1007/s44007-025-00183-9\">10.1007/s44007-025-00183-9</a>","apa":"Bleile, Y. (2026). Towards stratified space learning: 2-complexes. <i>La Matematica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s44007-025-00183-9\">https://doi.org/10.1007/s44007-025-00183-9</a>","short":"Y. Bleile, La Matematica 5 (2026).","chicago":"Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” <i>La Matematica</i>. Springer Nature, 2026. <a href=\"https://doi.org/10.1007/s44007-025-00183-9\">https://doi.org/10.1007/s44007-025-00183-9</a>.","ista":"Bleile Y. 2026. Towards stratified space learning: 2-complexes. La Matematica. 5, 17."},"date_updated":"2026-02-23T10:20:10Z","status":"public","quality_controlled":"1","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>In this paper, we consider a simple class of stratified spaces – 2-complexes. We present an algorithm that learns the abstract structure of an embedded 2-complex from a point cloud sampled from it. We use tools and inspiration from computational geometry, algebraic topology, and topological data analysis and prove the correctness of the identified abstract structure under assumptions on the embedding.</jats:p>","lang":"eng"}],"has_accepted_license":"1","month":"02","external_id":{"arxiv":["2305.02724"]},"article_type":"original","acknowledgement":"The author would like to thank Kate Turner, Chris Williams, Jonathan Spreer, Stephan Tillmann, Vanessa Robins, Vigleik Angeltveit, Martin Helmer, and James Morgan for very helpful discussions; and thanks Sara Kališnik Hintz and Paul Bendich for comments on an earlier version. Additonally, the author would like to thank both reviewers for their very insightful and helpful comments, without which the paper would be infinitely less coherent than it currently is. Open access funding provided by Institute of Science and Technology (IST Austria). The work in this paper was supported by an Australian Federal Government Grant, 2019-2022, Stratified Space Learning.","OA_type":"hybrid","oa":1,"volume":5,"ddc":["510"],"date_created":"2026-02-16T10:44:44Z","arxiv":1,"department":[{"_id":"HeEd"}],"_id":"21232","publication":"La Matematica","PlanS_conform":"1","publication_identifier":{"issn":["2730-9657"]},"title":"Towards stratified space learning: 2-complexes","article_processing_charge":"Yes (via OA deal)","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"day":"08","date_published":"2026-02-08T00:00:00Z","oa_version":"Published Version","doi":"10.1007/s44007-025-00183-9","corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","intvolume":"         5","year":"2026","publication_status":"published","type":"journal_article","author":[{"last_name":"Bleile","id":"920a7385-7995-11ef-9bfd-8c434cd8f3c2","first_name":"Yossi","full_name":"Bleile, Yossi","orcid":"0000-0002-4861-9174"}],"file":[{"date_updated":"2026-02-23T10:18:52Z","file_id":"21347","success":1,"file_name":"2026_LaMatematica_Bleile.pdf","checksum":"6cae2efb47b025af22a8539c606a4e09","date_created":"2026-02-23T10:18:52Z","relation":"main_file","content_type":"application/pdf","file_size":15051582,"creator":"dernst","access_level":"open_access"}],"language":[{"iso":"eng"}],"OA_place":"publisher"}