A proof of the branching number bound for normal manifolds

DOI10.1016/0024-3795(94)00337-8zbMath0868.52003OpenAlexW2090809092MaRDI QIDQ1816931

Stefan Scholtes

Publication date: 21 August 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00337-8

zbMATH Keywords

piecewise affine functionfacial structurebranching numbernormal manifoldsridge of a polyhedron

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) PL-topology (57Q99)

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Equations on monotone graphs ⋮ Individual confidence intervals for solutions to expected value formulations of stochastic variational inequalities

Cites Work

• Piecewise affine bijections of \(\mathbb R^n\), and the equation \(Sx^ +- Tx^ -=y\)
• Relationships of properties of piecewise affine maps over ordered fields
• On the Relationship Between Conditions that Insure a PL Mapping is a Homeomorphism
• Normal Maps Induced by Linear Transformations
• On branching numbers of normal manifolds
• Homeomorphism Conditions for Coherently Oriented Piecewise Affine Mappings
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