A Center Transversal Theorem for mass assignments
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916665004916736 |
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| author | Camarena, Omar Antolín Loperena, Jaime Calles |
| author_facet | Camarena, Omar Antolín Loperena, Jaime Calles |
| contents | In this paper, based on the ideas of Blagojević, 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 Blagojević, Karasev & Magazinov in a linear subspace of lower dimension, as long as it is contained in a high-dimensional enough ambient space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_15095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Center Transversal Theorem for mass assignments Camarena, Omar Antolín Loperena, Jaime Calles Classical Analysis and ODEs Functional Analysis Metric Geometry 52C35, 52A35 In this paper, based on the ideas of Blagojević, 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 Blagojević, Karasev & Magazinov in a linear subspace of lower dimension, as long as it is contained in a high-dimensional enough ambient space. |
| title | A Center Transversal Theorem for mass assignments |
| topic | Classical Analysis and ODEs Functional Analysis Metric Geometry 52C35, 52A35 |
| url | https://arxiv.org/abs/2401.15095 |