On the topology of a boolean representable simplicial complex

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Pedro V. Silva (Autor) FCUP; Stuart Margolis (Autor) Outra; John Rhodes (Autor) Outra

Revista

Título: International Journal of Algebra and Computation

Vol. 27

Páginas: 121-156

ISSN: 0218-1967

Editora: World Scientific

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00M-KAM

DOI: 10.1142/s0218196717500072

Abstract (EN): It is proved that the fundamental groups of boolean representable simplicial complexes (BRSC) are free and the rank is determined by the number and nature of the connected components of their graph of flats for dimension >= 2. In the case of dimension 2, it is shown that BRSC have the homotopy type of a wedge of spheres of dimensions 1 and 2. Also, in the case of dimension 2, necessary and sufficient conditions for shellability and being sequentially Cohen-Macaulay are determined. Complexity bounds are provided for all the algorithms involved.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 36