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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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Volume 18, Issue 1 (Jan 2010)

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Abstract Simplicial Complexes

Karol Pąk
  • Institute of Informatics, University of Białystok, Poland
Published Online: 2011-01-05 | DOI: https://doi.org/10.2478/v10037-010-0013-y

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, degree, skeleton, subdivision and substructure, and prove some of their properties.

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About the article


Published Online: 2011-01-05

Published in Print: 2010-01-01


Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-010-0013-y.

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[1]
Karol Pąk
Formalized Mathematics, 2011, Volume 19, Number 3
[2]
Karol Pąk
Formalized Mathematics, 2010, Volume 18, Number 4

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