Complex Homothetic Sections and Projections Through a Helly Type Theorem for Cosets of S1.
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| Title: | Complex Homothetic Sections and Projections Through a Helly Type Theorem for Cosets of S1. |
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| Authors: | Arocha, Jorge Luis1 (AUTHOR) jorge.l.arocha@gmail.com, Bracho, Javier1 (AUTHOR) jbracho@im.unam.mx, Montejano, Luis1 (AUTHOR) luis@im.unam.mx |
| Source: | Discrete & Computational Geometry. Oct2025, Vol. 74 Issue 3, p805-813. 9p. |
| Subjects: | Complex geometry, Mathematics theorems, Mathematical transformations, Mathematics, Compact spaces (Topology), Topological groups |
| Abstract: | We prove that two compact subsets of complex space C n with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theorem for cosets of closed subgroups of S 1 . [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | We prove that two compact subsets of complex space C n with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theorem for cosets of closed subgroups of S 1 . [ABSTRACT FROM AUTHOR] |
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| ISSN: | 01795376 |
| DOI: | 10.1007/s00454-024-00679-1 |
