<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this article we define the notion of abstract simplicial complexes and operations on them. We introduce the following basic notions: simplex, face, vertex, degree, skeleton, subdivision and substructure, and prove some of their properties.</p></abstract>

In this article we define the notion of abstract simplicial complexes and operations on them. We introduce the following basic notions: simplex, face, vertex, degree, skeleton, subdivision and substructure, and prove some of their properties.

Abstract Simplicial Complexes

Institute of Informatics, University of Białystok, Poland

Formalized Mathematics

{"article-title":"Abstract Simplicial Complexes"}

In this article we define the notion of abstract simplicial complexes and operations on them. We introduce the following basic notions: simplex, face, vertex,...

Abstract Simplicial Complexes

Pubblicato online: 05 gen 2011

Pagine: 95 - 106

DOI: https://doi.org/10.2478/v10037-010-0013-y

This content is open access.