Thurston's Work on Surfaces (MN-48) /

This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fathi, Albert (Autor, Contribuidor), Laudenbach, François (Autor), Poénaru, Valentin (Autor)
Otros Autores: Douady, Adrien (Contribuidor), Fried, David (Contribuidor), Kim, Djun (Contribuidor), Laudenbach, Francois (Contribuidor), Margalit, Dan (Contribuidor), Marin, Alexis (Contribuidor), Poenaru, Valentin (Contribuidor), Shub, Michael (Contribuidor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2022]
Colección:Mathematical Notes ; 48
Temas:
Dynamics.
Homeomorphisms.
Surfaces.
MATHEMATICS / Topology.
"exposition.
Analytic Theory.
Arational foliations.
Automorphisms.
Baire category theorem.
Bernoulli process.
Birectangles.
Claim.
Continuity.
Dehn twists.
Good atlas.
Jordan curve.
Marked functions.
Markov partitions.
Mathematical Society.
Perron-Frobenius theorem.
Riemannian manifold.
Surjectivity.
Thurston's theorem.
Topology.
Uniqueness.
Whitehead operations.
affine structure.
almost minimal.
braid group.
canonical coordinates.
canonical models.
ergodic map.
homeomorphism.
homogeneous.
homotopic.
hyperbolic geometry.
integers.
irreducible.
isometric isotopy.
lemma.
multiplication by scalars.
one-holed torus.
pants decomposition.
pants seam.
pseudo-Anosov diffeomorphism.
quasitransverse curves.
ramified cover.
small loop.
spectral theorem.
strict conjugacy".
suspension.
total variation.
truncated hexagon.
zeta function.
Acceso en línea:Texto completo
Texto completo
Descripción
Sumario:This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichmüller space, the Nielsen-Thurston classification of surface homeomorphisms, and dynamical properties of pseudo-Anosov diffeomorphisms. Thurston never published the complete proofs, so this text is the only resource for many aspects of the theory.Thurston was awarded the prestigious Fields Medal in 1982 as well as many other prizes and honors, and is widely regarded to be one of the major mathematical figures of our time. Today, his important and influential work on surface homeomorphisms is enjoying continued interest in areas ranging from the Poincaré conjecture to topological dynamics and low-dimensional topology.Conveying the extraordinary richness of Thurston's mathematical insight, this elegant and faithful translation from the original French will be an invaluable resource for the next generation of researchers and students.
Descripción Física:1 online resource (272 p.) : 150 line illus.
ISBN:9781400839032
9783110442502
9783110784237
Acceso:restricted access

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