Projection of crosscap
Mart\'in Barajas Sichac\'a, Yutaro Kabata
TL;DR
This paper analyzes the bifurcation diagrams of apparent contours of generic crosscaps, revealing detailed information about singular set images and the roles of various equivalences.
Contribution
It provides a detailed determination of bifurcation diagrams for crosscaps, highlighting the importance of three types of equivalences in the analysis.
Findings
Bifurcation diagrams of apparent contours are precisely characterized.
Singular sets of crosscaps are classified through bifurcation analysis.
Three key types of equivalences are identified as crucial in the study.
Abstract
We determine the precise bifurcation diagrams of the apparent contours of generic crosscaps, which contain the information of bifurcations with respect to the images of the singular sets of crosscaps: crosscap points and double point curves. Especially, three different kinds of equivalences play key roles.
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