Artículo
Capitelli, N.A. "The non-pure version of the simplex and the boundary of the simplex" (2016) Computational Geometry: Theory and Applications. 57:19-26
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Abstract:
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex. © 2016 Elsevier B.V. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | The non-pure version of the simplex and the boundary of the simplex |
| Autor: | Capitelli, N.A. |
| Filiación: | Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Alexander dual; Combinatorial manifolds; Simplicial complexes; Applications; Computational geometry; Alexander Dual; Minimality; Non-homogeneous; Simplicial complex; Spheres |
| Año: | 2016 |
| Volumen: | 57 |
| Página de inicio: | 19 |
| Página de fin: | 26 |
| DOI: | http://dx.doi.org/10.1016/j.comgeo.2016.05.002 |
| Título revista: | Computational Geometry: Theory and Applications |
| Título revista abreviado: | Comput Geom Theory Appl |
| ISSN: | 09257721 |
| CODEN: | CGOME |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09257721_v57_n_p19_Capitelli |
Referencias:
- Alexander, J.W., A proof and extension of the Jordan-Brouwer separation theorem (1922) Trans. Am. Math. Soc., 23 (4), pp. 333-349
- Björner, A., Tancer, M., Combinatorial Alexander duality - A short and elementary proof (2009) Discrete Comput. Geom., 42 (4), pp. 586-593
- Björner, A., Wachs, M., Shellable nonpure complexes and posets. i (1996) Trans. Am. Math. Soc., 348 (4), pp. 1299-1327
- Björner, A., Wachs, M., Shellable nonpure complexes and posets. II (1997) Trans. Am. Math. Soc., 349 (10), pp. 3945-3975
- Capitelli, N.A., Minian, E.G., Non-homogeneous combinatorial manifolds (2013) Beitr. Algebra Geom., 54 (1), pp. 419-439
- Capitelli, N.A., Minian, E.G., A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls (2016) J. Comb. Theory, Ser. A, 138, pp. 155-174
- Newman, M.H.A., On the foundation of combinatorial analysis situs (1926) Proc. Roy. Acad. Amsterdam, 29, pp. 610-641
- Rourke, C.P., Sanderson, B.J., (1972) Introduction to Piecewise-Linear Topology, , Springer-Verlag
- Whitehead, J.H.C., Simplicial spaces, nuclei and m-groups (1939) Proc. Lond. Math. Soc., 45, pp. 243-327
Citas:
---------- APA ----------
(2016) . The non-pure version of the simplex and the boundary of the simplex. Computational Geometry: Theory and Applications, 57, 19-26.http://dx.doi.org/10.1016/j.comgeo.2016.05.002
---------- CHICAGO ----------
Capitelli, N.A. "The non-pure version of the simplex and the boundary of the simplex" . Computational Geometry: Theory and Applications 57 (2016) : 19-26.http://dx.doi.org/10.1016/j.comgeo.2016.05.002
---------- MLA ----------
Capitelli, N.A. "The non-pure version of the simplex and the boundary of the simplex" . Computational Geometry: Theory and Applications, vol. 57, 2016, pp. 19-26.http://dx.doi.org/10.1016/j.comgeo.2016.05.002
---------- VANCOUVER ----------
Capitelli, N.A. The non-pure version of the simplex and the boundary of the simplex. Comput Geom Theory Appl. 2016;57:19-26.http://dx.doi.org/10.1016/j.comgeo.2016.05.002
