{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T17:47:27Z","timestamp":1773510447188,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1994,9]]},"abstract":"<jats:p> The scope of this work is Geometric Modeling. We study the representation and the construction of subdivisions of quasi-manifolds, using a topology-based approach. Quasi-manifolds are here defined as a subset of pseudo-manifolds, which are well-known objects in Algebraic Topology. <\/jats:p><jats:p> N-dimensional generalized maps (resp. n-dimensional maps) are combinatorial models defined for representing the topology of subdivisions of orientable or non-orientable quasi-manifolds with or without boundaries (resp. orientable quasi-manifolds without boundaries). <\/jats:p><jats:p> In this paper, we define the models, main related notions and properties as cells, boundaries, duality, orientability, Euler characteristic. Basic operations are proposed for handling the models. <\/jats:p><jats:p> We also show the correspondence between the combinatorial models and combinatorial cellular quasi-manifolds, here defined as combinatorial simplicial quasi-manifolds to which a structure into cells is added. This correspondence establishes that the models are rigorous and unambiguous ones. <\/jats:p><jats:p> Moreover, the definitions of the models and the related notions and operations are quite simple, and they can be easily implemented and used in geometric modellers. <\/jats:p>","DOI":"10.1142\/s0218195994000173","type":"journal-article","created":{"date-parts":[[2004,11,19]],"date-time":"2004-11-19T02:21:13Z","timestamp":1100830873000},"page":"275-324","source":"Crossref","is-referenced-by-count":168,"title":["N-DIMENSIONAL GENERALIZED COMBINATORIAL MAPS AND CELLULAR QUASI-MANIFOLDS"],"prefix":"10.1142","volume":"04","author":[{"given":"PASCAL","family":"LIENHARDT","sequence":"first","affiliation":[{"name":"Centre de Recherche en Informatique - C.N.R.S., Universit\u00e9 Louis Pasteur, 7 rue Ren\u00e9 Descartes, 67084 Strasbourg Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195994000173","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:30:39Z","timestamp":1565137839000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195994000173"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,9]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1994,9]]}},"alternative-id":["10.1142\/S0218195994000173"],"URL":"https:\/\/doi.org\/10.1142\/s0218195994000173","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,9]]}}}