On the enumeration of subcells within hypercubes and its application to the Borsuk-Ulam theorem

Cites Work

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Applications of Lusternik-Schnirelmann category and its generalizations
The bisection method in higher dimensions
Ham-sandwich cuts for abstract order types
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Computing exact solutions of consensus halving and the Borsuk-Ulam theorem
Generalised Mycielski graphs and the Borsuk-Ulam theorem
Some combinatorial and algorithmic applications of the Borsuk-Ulam theorem
Drei Sätze über die \(n\)-dimensionale euklidische Sphäre.
A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
A Borsuk–Ulam Equivalent that Directly Implies Sperner’s Lemma
Borsuk-Ulam Implies Brouwer: A Direct Construction Revisited
The Homotopy Continuation Method: Numerically Implementable Topological Procedures
The Solution of Systems of Piecewise Linear Equations
A New and Constructive Proof of the Borsuk-Ulam Theorem
Borsuk-Ulam Implies Brouwer: A Direct Construction
Ham Sandwich is Equivalent to Borsuk-Ulam
The spherical mean value operator with centers on a sphere
A Simplex Method for Function Minimization
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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