{"quality_controlled":0,"day":"01","date_updated":"2021-01-12T07:53:35Z","abstract":[{"text":"Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of a point in the range. We study the local and global structure of this space for generic, piecewise linear mappings on a combinatorial manifold.","lang":"eng"}],"date_created":"2018-12-11T12:06:13Z","page":"242 - 250","_id":"3974","title":"Reeb spaces of piecewise linear mappings","publication_status":"published","citation":{"apa":"Edelsbrunner, H., Harer, J., &#38; Patel, A. (2008). Reeb spaces of piecewise linear mappings (pp. 242–250). Presented at the SCG: Symposium on Computational Geometry, ACM. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>","mla":"Edelsbrunner, Herbert, et al. <i>Reeb Spaces of Piecewise Linear Mappings</i>. ACM, 2008, pp. 242–50, doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>.","ista":"Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. SCG: Symposium on Computational Geometry, 242–250.","ieee":"H. Edelsbrunner, J. Harer, and A. Patel, “Reeb spaces of piecewise linear mappings,” presented at the SCG: Symposium on Computational Geometry, 2008, pp. 242–250.","short":"H. Edelsbrunner, J. Harer, A. Patel, in:, ACM, 2008, pp. 242–250.","chicago":"Edelsbrunner, Herbert, John Harer, and Amit Patel. “Reeb Spaces of Piecewise Linear Mappings,” 242–50. ACM, 2008. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>.","ama":"Edelsbrunner H, Harer J, Patel A. Reeb spaces of piecewise linear mappings. In: ACM; 2008:242-250. doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>"},"author":[{"last_name":"Edelsbrunner","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Herbert Edelsbrunner","orcid":"0000-0002-9823-6833"},{"last_name":"Harer","first_name":"John","full_name":"Harer, John"},{"id":"34A254A0-F248-11E8-B48F-1D18A9856A87","full_name":"Amit Patel","first_name":"Amit","last_name":"Patel"}],"date_published":"2008-01-01T00:00:00Z","month":"01","type":"conference","publist_id":"2155","year":"2008","status":"public","conference":{"name":"SCG: Symposium on Computational Geometry"},"publisher":"ACM","doi":"10.1145/1377676.1377720","extern":1}