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Anglický jazyk
Geometric Topology
Autor: Frederic P. Miller
In high-dimensional topology, characteristic classes are a basic invariant, and surgery theory is a key theory. Low-dimensional topology is strongly geometric, as reflected in the uniformization theorem in 2 dimensions - every surface admits a constant curvature... Viac o knihe
Na objednávku
132.91 €
bežná cena: 139.90 €
O knihe
In high-dimensional topology, characteristic classes are a basic invariant, and surgery theory is a key theory. Low-dimensional topology is strongly geometric, as reflected in the uniformization theorem in 2 dimensions - every surface admits a constant curvature metric; geometrically, it has one of 3 possible geometries: positive curvature/spherical, zero curvature/flat, negative curvature/hyperbolic - and the geometrization conjecture (now theorem) in 3 dimensions - every 3-manifold can be cut into pieces, each of which has one of 8 possible geometries. 2-dimensional topology can be studied as complex geometry in one variable (Riemann surfaces are complex curves) - by the uniformization theorem every conformal class of metrics is equivalent to a unique complex one, and 4-dimensional topology can be studied from the point of view of complex geometry in two variables (complex surfaces), though not every 4-manifold admits a complex structure.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786130618360
