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Quasicomplementary
foliations and the Mather–Thurston theorem
Gaël Meigniez |
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Geometry & Topology 25 (2021) 643–710
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Abstract |
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We establish a form of the h–principle for the existence of foliations of codimension at least which are quasicomplementary to a given one. Roughly, “quasicomplementary” means that they are complementary except on the boundaries of some kind of Reeb components. The construction involves an adaptation of W Thurston’s “inflation” process. The same methods also provide a proof of the classical Mather–Thurston theorem. |
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Keywords
foliation, Haefliger structure, h–principle,
Mather–Thurston theorem, Thurston's inflation
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Mathematical Subject Classification 2010
Primary: 57R30, 57R32, 58H10
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References |
Publication
Received: 22 August 2018
Revised: 10 April 2020
Accepted: 20 May 2020
Published: 27 April 2021
Proposed: Yasha Eliashberg
Seconded: David Gabai, Mladen Bestvina
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Authors |
| Gaël Meigniez | |
| Laboratoire de Mathématiques de
Bretagne Atlantique Université de Bretagne Sud (LMBA UBS, UMR CNRS 6205) Vannes France |
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