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Problems in foliations and laminations of 3-manifolds

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arxiv math/0209081 v1 pith:BPWGH5EK submitted 2002-09-08 math.GT

Danny Calegari This is my paper · ORCID
classification math.GT
keywords foliationslaminationslistmanifoldsproblemtheoryareasaspects
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This is a problem list in the theory of foliations and laminations of 3-manifolds. The focus is on the relationship of foliations and laminations with other aspects of 3-manifold topology, especially with the Thurston theory of geometric structures. This problem list is not meant to be comprehensive; rather it focusses on research areas that currently seem (to the author) particularly promising.

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  1. Simultaneous universal circles and continuous extension

    math.GT 2026-07 accept novelty 6.0 of 10

    The flow's Cannon-Thurston map simultaneously induces continuous extensions of all leaves of any almost transverse foliation via the flowspace boundary as universal circle.

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