Buch, Englisch, 378 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 731 g
Buch, Englisch, 378 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 731 g
ISBN: 978-0-19-857008-0
Verlag: ACADEMIC
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Autoren/Hrsg.
Fachgebiete
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
- Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Mathematik | Informatik Mathematik Mathematik Allgemein
Weitere Infos & Material
- Preface
- 1: Surface bundles
- 2: The topology of S1
- 3: Minimal surfaces
- 4: Taut foliations
- 5: Finite depth foliations
- 6: Essential laminations
- 7: Universal circles
- 8: Constructing transverse laminations
- 9: Slitherings and other foliations
- 10: Peano curves
- References
- Index
