On the enumeration of subcells within hypercubes and its application to the Borsuk-Ulam theorem
type: Item
instance of: scholarly article
title: On the enumeration of subcells within hypercubes and its application to the Borsuk-Ulam theorem
author: Moody T. Chu
author: Matthew M. Lin
published in: Numerical Algorithms
publication date: 2024-10-14T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 7925686
zbMATH Keywords: Borsuk-Ulam theorem
zbMATH Keywords: hypercubes
zbMATH Keywords: generic coordinates
zbMATH Keywords: homeomorphism
zbMATH Keywords: spherical mean
MaRDI profile type: Publication
cites work: The bisection method in higher dimensions
cites work: Drei Sätze über die \(n\)-dimensionale euklidische Sphäre.
cites work: Q5799215
cites work: Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
cites work: Generalised Mycielski graphs and the Borsuk-Ulam theorem
cites work: Some combinatorial and algorithmic applications of the Borsuk-Ulam theorem
cites work: The Homotopy Continuation Method: Numerically Implementable Topological Procedures
cites work: Q3213887
cites work: A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
cites work: Computing exact solutions of consensus halving and the Borsuk-Ulam theorem
cites work: Consensus-halving via theorems of Borsuk-Ulam and Tucker
cites work: Q3692472
cites work: Borsuk-Ulam Implies Brouwer: A Direct Construction
cites work: Borsuk-Ulam Implies Brouwer: A Direct Construction Revisited
cites work: Ham-sandwich cuts for abstract order types
cites work: Ham Sandwich is Equivalent to Borsuk-Ulam
cites work: Q5393667
cites work: Q4760461
cites work: Applications of Lusternik-Schnirelmann category and its generalizations
cites work: A Borsuk–Ulam Equivalent that Directly Implies Sperner’s Lemma
cites work: A New and Constructive Proof of the Borsuk-Ulam Theorem
cites work: Q4112523
cites work: The Solution of Systems of Piecewise Linear Equations
cites work: A Simplex Method for Function Minimization
cites work: Q4435425
cites work: Q4878831
cites work: The spherical mean value operator with centers on a sphere
cites work: Efficient and accurate computation of spherical mean values at scattered center points
cites work: Q5432230
DOI: 10.1007/S11075-023-01716-5
description: scientific article; zbMATH DE number 7925686