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Relationships Between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets
In this paper, we study some relationships between polyhedral convex sets and generalized polyhedral convex sets. In particular, we clarify by a...
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Toric Topology and Polyhedral Products
This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of...
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Locally Finite Completions of Polyhedral Complexes
We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed...
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Polyhedral points, QP-points and Q-points
In a real Banach space X , we prove that a polyhedral point is weaker than QP-point and stronger than Q-point and every weakly polyhedral Q-point is a...
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Role of Subgradients in Variational Analysis of Polyhedral Functions
Understanding the role that subgradients play in various second-order variational analysis constructions can help us uncover new properties of...
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Rigidity of bordered polyhedral surfaces
This paper investigates the rigidity of bordered polyhedral surfaces. Using the variational principle, we show that bordered polyhedral surfaces are...
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Polyhedral Preliminaries
This chapter deals with cell complexes (also called “polyhedra”) with metrics of piecewise constant curvature. In other words, each cell is required...
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Loop space decompositions of highly symmetric spaces with applications to polyhedral products
We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry....
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Finding Weakly Simple Closed Quasigeodesics on Polyhedral Spheres
A closed quasigeodesic on a convex polyhedron is a closed curve that is locally straight outside of the vertices, where it forms an angle at most
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Polyhedral Coherent Risk Measure and Distributionally Robust Portfolio Optimization
Polyhedral coherent risk measures and their worst-case constructions with respect to the ambiguity set are considered. For the case of the discrete...
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Polyhedral Products for Wheel Graphs and Their Generalizations
A general homotopy decomposition is established for the based loops on certain polyhedral products. This is then specialized to obtain an explicit...
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On polyhedral graphs and their complements
We find all polyhedral graphs such that their complements are still polyhedral. These turn out to be all self-complementary.
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Discrete Yamabe Problem for Polyhedral Surfaces
We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical...
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Symmetric Products and a Cartan-Type Formula for Polyhedral Products
We give a geometric method for determining the cohomology groups of a polyhedral product...
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Stable computation of analytical expressions for the gravity and magnetic field response of distant polyhedral targets
Though implemented through different evaluation strategies, the analytical formulation of the polyhedral gravity and magnetic field response involves...
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Probability of Random Vector Hitting Truncated Polyhedral Cone: Majorization Aspect
AbstractThe paper presents conditions under which the probability of hitting a linear combination of random vectors in a compressed (from above)...
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Polyhedral Products
This is a functor from the category of simplicial complexes, with morphisms simplicial embeddings, to the category of CW-complexes and continuous...
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Polyhedral Products for Connected Sums of Simplicial Complexes
AbstractWe investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial...