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Complex homothetic sections and projections through a Helly type Theorem for cosets of S¹
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Complex homothetic sections and projections through a Helly type Theorem for cosets of S¹
classification
math.MG
keywords
complexhomotheticclosedcosetsprojectionssectionstheoremcorresponding
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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 $\S ^1$.
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