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Geometric Topology
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Geliefert zwischen Fr., 23.01.2026 und Mo., 26.01.2026
Details
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130618360
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2010
- EAN 9786130618360
- Format Fachbuch
- ISBN 978-613-0-61836-0
- Titel Geometric Topology
- Untertitel Mathematics, Manifold, Embedding, List of geometric topology topics, Orientability, Handle decomposition, Local flatness, Schönflies problem, Fundamental group, Presentation of a group
- Gewicht 130g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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