Complex homothetic sections and projections through a Helly type Theorem for cosets of $\S^1$

Javier Bracho; Jorge Luis Arocha; Luis Montejano

arxiv: 2310.06206 · v1 · pith:JSL4ZUVB · submitted 2023-10-09 · math.MG

Complex homothetic sections and projections through a Helly type Theorem for cosets of S¹

Jorge Luis Arocha , Javier Bracho , Luis Montejano This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:JSL4ZUVB record.json open to challenge →

classification math.MG

keywords complexhomotheticclosedcosetsprojectionssectionstheoremcorresponding

0 comments

read the original abstract

We prove that two closed 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 $\S ^1$.

This paper has not been read by Pith yet.

Complex homothetic sections and projections through a Helly type Theorem for cosets of S¹

discussion (0)