2024/11/10 by Dahyana Farias, Farias, Dahyana, Eduardo Fernández +1
Engineering · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Structural Analysis and Optimization #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2411.06467
openalex publication_date 2024/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a topological characterization for a family of bypasses with a fixed attaching arc to be contractible. This characterization is formulated in terms of the existence of a bypass that is disjoint from the given family away from the attaching region. As an application, we provide new proofs of several h-principles in overtwisted contact 3-manifolds.