{"article_processing_charge":"No","publication_identifier":{"issn":["0350-1302"]},"month":"01","year":"1999","oa":1,"date_created":"2018-12-11T12:04:05Z","page":"23 - 45","language":[{"iso":"eng"}],"type":"journal_article","intvolume":"        66","_id":"3582","author":[{"first_name":"Tamal","last_name":"Dey","full_name":"Dey, Tamal"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"full_name":"Guha, Sumanta","last_name":"Guha","first_name":"Sumanta"},{"last_name":"Nekhayev","first_name":"Dmitry","full_name":"Nekhayev, Dmitry"}],"oa_version":"None","publist_id":"2803","date_published":"1999-01-01T00:00:00Z","extern":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","day":"01","status":"public","main_file_link":[{"open_access":"1","url":"https://www.emis.de/journals/PIMB/080/3.html"}],"publication_status":"published","citation":{"ieee":"T. Dey, H. Edelsbrunner, S. Guha, and D. Nekhayev, “Topology preserving edge contraction,” <i>Publications de l’Institut Mathématique</i>, vol. 66. Mathematical Institute, Serbian Academy of Sciences and Arts, pp. 23–45, 1999.","short":"T. Dey, H. Edelsbrunner, S. Guha, D. Nekhayev, Publications de l’Institut Mathématique 66 (1999) 23–45.","apa":"Dey, T., Edelsbrunner, H., Guha, S., &#38; Nekhayev, D. (1999). Topology preserving edge contraction. <i>Publications de l’Institut Mathématique</i>. Mathematical Institute, Serbian Academy of Sciences and Arts.","mla":"Dey, Tamal, et al. “Topology Preserving Edge Contraction.” <i>Publications de l’Institut Mathématique</i>, vol. 66, Mathematical Institute, Serbian Academy of Sciences and Arts, 1999, pp. 23–45.","chicago":"Dey, Tamal, Herbert Edelsbrunner, Sumanta Guha, and Dmitry Nekhayev. “Topology Preserving Edge Contraction.” <i>Publications de l’Institut Mathématique</i>. Mathematical Institute, Serbian Academy of Sciences and Arts, 1999.","ama":"Dey T, Edelsbrunner H, Guha S, Nekhayev D. Topology preserving edge contraction. <i>Publications de l’Institut Mathématique</i>. 1999;66:23-45.","ista":"Dey T, Edelsbrunner H, Guha S, Nekhayev D. 1999. Topology preserving edge contraction. Publications de l’Institut Mathématique. 66, 23–45."},"publisher":"Mathematical Institute, Serbian Academy of Sciences and Arts","publication":"Publications de l'Institut Mathématique","volume":66,"acknowledgement":"The second author thanks Wolfgang Haken and Min Yan for interesting discussions and Günter Ziegler for suggesting the knot construction in the triangulation of the 3-sphere mentioned in Section 7.","abstract":[{"lang":"eng","text":"We study edge contractions in simplicial complexes and local conditions under which they preserve the topological type. The conditions are based on a generalized notion of boundary, which lends itself to defining a nested hierarchy of triangulable spaces measuring the distance to being a manifold."}],"title":"Topology preserving edge contraction","quality_controlled":"1","date_updated":"2023-03-22T13:20:32Z","article_type":"original"}