Open Book Decomposition: Mathematics, Manifold Decomposition, Closed Manifold, Oriented, 3-Manifold, Surface, Solid Torus - Softcover
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Open Book Decomposition
Print on DemandSeller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given below) that shows that contact geometry can be studied from an entirely topological viewpoint.When is an oriented compact surface with n boundary components and : is a homeomorphism which is the identity near the boundary, we can construct an open book by first forming the mapping torus . Since is the identity on , is the trivial circle bundle over a union of circles, that is, a union of tori. To complete the construction, solid tori are glued to fill in the boundary tori so that each circle S1 × {p} S1× D2 is identified with the boundary of a page. In this case, the binding is the collection of n cores S1×{q} of the n solid tori glued into the mapping torus, for arbitrarily chosen q D2. It is known that any open book can be constructed this way. 64 pp. Englisch. Seller Inventory # 9786131304231
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Open Book Decomposition : Mathematics, Manifold Decomposition, Closed Manifold, Oriented, 3-Manifold, Surface, Solid Torus
Print on DemandSeller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given below) that shows that contact geometry can be studied from an entirely topological viewpoint.When is an oriented compact surface with n boundary components and : is a homeomorphism which is the identity near the boundary, we can construct an open book by first forming the mapping torus . Since is the identity on , is the trivial circle bundle over a union of circles, that is, a union of tori. To complete the construction, solid tori are glued to fill in the boundary tori so that each circle S1 × {p} S1× D2 is identified with the boundary of a page. In this case, the binding is the collection of n cores S1×{q} of the n solid tori glued into the mapping torus, for arbitrarily chosen q D2. It is known that any open book can be constructed this way. Seller Inventory # 9786131304231
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Open Book Decomposition
Print on DemandSeller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsan open book decomposition (or simply an open book) is a decompositionof a closed oriented 3-manifold M into a union of surfaces (necessarilywith boundary) and solid tori. Open books have relevance to contactgeometry, with a famous theorem of Emmanuel Giroux (given below) thatshows that contact geometry can be studied from an entirely topologicalviewpoint.When ¿ is an oriented compact surface with n boundarycomponents and ¿: ¿ ¿ ¿ is a homeomorphism which is the identity nearthe boundary, we can construct an open book by first forming the mappingtorus ¿¿. Since ¿ is the identity on ¿¿, ¿¿¿ is the trivial circlebundle over a union of circles, that is, a union of tori. To completethe construction, solid tori are glued to fill in the boundary tori sothat each circle S1 × {p} ¿ S1׿D2 is identified with the boundary of apage. In this case, the binding is the collection of n cores S1×{q} ofthe n solid tori glued into the mapping torus, for arbitrarily chosen q¿ D2. It is known that any open book can be constructed this way.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 64 pp. Englisch. Seller Inventory # 9786131304231