Geometric construction of a coboundary of a cycle
type: Item
instance of: scholarly article
title: Geometric construction of a coboundary of a cycle
zbMATH Open document ID: 0973.18009
published in: Discrete \& Computational Geometry
publication date: 2001-11-22T00:00:00Z
review text: For the purposes of computational homology a \(q\)-cycle on a subset of Euclidean space can be represented as a sum of \(q\)-dimensional cubes whose faces are parallel to the coordinate planes. This paper is devoted to giving an algorithmic description of a construction for the coboundary of such a cycle when it is supported in a rectangular set. The essence of the construction lies in selecting appropriate coefficients for the \((q+1)\)-cubes across which the cycle would pass under projection onto one of the coordinate planes.
Mathematics Subject Classification ID: 18G99
Mathematics Subject Classification ID: 55-04
Mathematics Subject Classification ID: 57-04
Mathematics Subject Classification ID: 55N99
zbMATH DE Number: 1556175
zbMATH Keywords: cubical chain complex
zbMATH Keywords: computational homology
author: Madjid Allili
author: Tomasz Kaczynski
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: s004540010072
OpenAlex ID: W2034649530
DOI: 10.1007/S004540010072
Recommended article: Q3515360
Recommended article: Geometric constructions on cycles in \(\mathbb{R}^n\)
Recommended article: Geometric constructions on cycles
Recommended article: Cycle construction and geodesic cycles with application to the hypercube
Recommended article: Geometric constructibility of cyclic polygons and a limit theorem
Recommended article: On the geometry of cyclic lattices
Recommended article: Q4288668
description: scientific article; zbMATH DE number 1556175