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arXiv · 2401.15095

A Center Transversal Theorem for mass assignments

Omar Antolín Camarena·Jaime Calles Loperena
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Abstract

In this paper, based on the ideas of Blagojevi\'c, Karasev & Magazinov, we consider an extension of the center transversal theorem to mass assignments with an improved Rado depth. In particular we substitute the marginal of a measure by a more general concept called a mass assignment over a flag manifold. Our results also allow us to solve the main problem proposed by Blagojevi\'c, Karasev & Magazinov in a linear subspace of lower dimension, as long as it is contained in a high-dimensional enough ambient space.

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Omar Antolín Camarena, Jaime Calles Loperena. 2024-01-23. A Center Transversal Theorem for mass assignments. https://arxiv.org/abs/2401.15095

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