naa a22 4500 510736785 CHVBK 20180411083013.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s13366-012-0114-6 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0114-6 Non-homogeneous combinatorial manifolds [Elektronische Daten] [Nicolas Capitelli, Elias Minian] In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds. The Managing Editors, 2012 Simplicial complexes nationallicence Combinatorial manifolds nationallicence Collapses nationallicence Shellability nationallicence Pachner moves nationallicence Capitelli Nicolas Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina aut Minian Elias Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina aut Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 419-439 0138-4821 54:1<419 2013 54 13366 https://doi.org/10.1007/s13366-012-0114-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0114-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Capitelli Nicolas Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina aut NATIONALLICENCE 700 1- Minian Elias Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 419-439 0138-4821 54:1<419 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer