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math.GT2024
A bypass in the middle
Dahyana Farias, Eduardo Fernández
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…
math.SG2024
Strongly overtwisted contact 3-manifolds
Eduardo Fernández
We prove the existence of a subclass of overtwisted contact structures, called strongly overtwisted, on a 3-manifold that satisfy a complete h-principle without prescribing the con…