On singular maps with local fibration
Ying Chen, Mihai Tib\u{a}r
TL;DR
This paper investigates the conditions necessary for the existence of singular local tube fibrations and explores their implications for the composition of map germs.
Contribution
It establishes the most general conditions for singular local tube fibrations and applies these results to the study of map germ compositions.
Findings
Identifies the broadest conditions for singular local tube fibrations
Provides new insights into the composition of map germs
Advances understanding of singularity theory in local fibrations
Abstract
We discuss the most general condition under which a singular local tube fibration exists. We give an application to composition of map germs.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Advanced Topics in Algebra