A note on the fundamental group of the Salvetti complex determined by an oriented matroid
type: Item
instance of: scholarly article
title: A note on the fundamental group of the Salvetti complex determined by an oriented matroid
zbMATH Open document ID: 0767.52005
DOI: 10.1016/0195-6698(92)90002-H
author: Raul Cordovil
author: António Guedes de Oliveira
published in: European Journal of Combinatorics
publication date: 1993-02-03T00:00:00Z
review text: Let \({\mathcal A}\) be an arrangement of hyperplanes in \(\mathbb{R}^ d\) and \(\Delta({\mathcal A})\) be a regular finite \(CW\) complex homotopic to the complexification \(M_ c({\mathcal A})\) of the complement \(\mathbb{R}^ d\backslash(\cup\{H\in{\mathcal A}\})\). The authors prove some results about the fundamental group \(\pi_ 1(\Delta)\).
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 52B40
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 109273
zbMATH Keywords: Salvetti complex
zbMATH Keywords: oriented matroid
zbMATH Keywords: arrangement of hyperplanes
zbMATH Keywords: fundamental group
reviewed by: Valeriu Soltan
MaRDI profile type: Publication
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full work available at URL: 0195-6698(92)90002-h
OpenAlex ID: W2014163725
description: scientific article; zbMATH DE number 109273