Complex homothetic sections and projections through a Helly type Theorem for cosets of $\S^1$
Metric Geometry
2023-10-11 v1
Abstract
We prove that two closed subsets of complex space with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theorem for cosets of closed subgroups of .
Keywords
Cite
@article{arxiv.2310.06206,
title = {Complex homothetic sections and projections through a Helly type Theorem for cosets of $\S^1$},
author = {Jorge Luis Arocha and Javier Bracho and Luis Montejano},
journal= {arXiv preprint arXiv:2310.06206},
year = {2023}
}