Uniqueness of free 2-periodicities of links

Fuente: arXiv
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Main Author: Yoshida, Ken'ichi
Format: Preprint
Published: 2025
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_version_ 1866917423809036288
author Yoshida, Ken'ichi
author_facet Yoshida, Ken'ichi
contents We show that if two links in the real projective 3-space $\mathbb{RP}^{3}$ have isotopic preimages in the 3-sphere $S^{3}$ by the double covering map, then they are themselves isotopic in $\mathbb{RP}^{3}$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22282
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Uniqueness of free 2-periodicities of links
Yoshida, Ken'ichi
Geometric Topology
57K10, 57K32, 57K35, 57M10
We show that if two links in the real projective 3-space $\mathbb{RP}^{3}$ have isotopic preimages in the 3-sphere $S^{3}$ by the double covering map, then they are themselves isotopic in $\mathbb{RP}^{3}$.
title Uniqueness of free 2-periodicities of links
topic Geometric Topology
57K10, 57K32, 57K35, 57M10
url https://arxiv.org/abs/2505.22282