How Long to Read Representing 3-Manifolds by Filling Dehn Surfaces

How Long Does it Take to Read Representing 3-Manifolds by Filling Dehn Surfaces?

It takes the average reader 5 hours to read Representing 3-Manifolds by Filling Dehn Surfaces by Rubén Vigara

Assuming a reading speed of 250 words per minute. Learn more

Description

This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds. This book presents, for the first time in English and with all the details, the results from the PhD thesis of the first author, together with some more recent results in the subject. It also presents some key ideas on how these techniques could be used on other subjects. Representing 3-Manifolds by Filling Dehn Surfaces is mostly self-contained requiring only basic knowledge on topology and homotopy theory. The complete and detailed proofs are illustrated with a set of more than 600 spectacular pictures, in the tradition of low-dimensional topology books. It is a basic reference for researchers in the area, but it can also be used as an advanced textbook for graduate students or even for adventurous undergraduates in mathematics. The book uses topological and combinatorial tools developed throughout the twentieth century making the volume a trip along the history of low-dimensional topology. Contents:Preliminaries:SetsManifoldsCurvesTransversalityRegular deformationsComplexesFilling Dehn Surfaces:Dehn Surfaces in 3-manifoldsFilling Dehn SurfacesNotationSurgery on Dehn Surfaces. Montesinos TheoremJohansson Diagrams:Diagrams Associated to Dehn SurfacesAbstract Diagrams on SurfacesThe Johansson TheoremFilling DiagramsFundamental Group of a Dehn Sphere:Coverings of Dehn SpheresThe Diagram GroupCoverings and RepresentationsApplicationsThe Fundamental Group of a Dehn g-torusFilling Homotopies:Filling HomotopiesBad Haken Moves"Not so Bad" Haken MovesDiagram MovesDuplicationAmendola's MovesProof of Theorem 5.8:Pushing DisksShellings. Smooth TriangulationsComplex f-movesInflating TriangulationsFilling PairsSimultaneous GrowingsProof of Theorem 5.8The Triple Point Spectrum:The Shima's SpheresSome Examples of Filling Dehn SurfacesThe Number of Triple Points as a Measure of Complexity: Montestinos ComplexityThe Triple Point SpectrumSurface-complexityKnots, Knots and Some Open Questions:2-Knots: Lifting Filling Dehn Surfaces1-KnotsOpen Problems Readership: Graduate students and researchers interested in low-dimensional topology. Key Features:It provides deep results in a new subject of mathematical research. Moreover, it introduces new mathematical tools and techniques useful in different areas of low-dimensional topologyThe book uses topological and combinatorial tools developed all along the twentieth century making the volume a trip along the history of low-dimensional topologyA spectacular set of pictures, in the better tradition of low-dimensional topology books, which give deep insight of the techniques and constructions done in the book

How long is Representing 3-Manifolds by Filling Dehn Surfaces?

Representing 3-Manifolds by Filling Dehn Surfaces by Rubén Vigara is 300 pages long, and a total of 75,000 words.

This makes it 101% the length of the average book. It also has 92% more words than the average book.

How Long Does it Take to Read Representing 3-Manifolds by Filling Dehn Surfaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 49 minutes to read Representing 3-Manifolds by Filling Dehn Surfaces aloud.

What Reading Level is Representing 3-Manifolds by Filling Dehn Surfaces?

Representing 3-Manifolds by Filling Dehn Surfaces is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Representing 3-Manifolds by Filling Dehn Surfaces?

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