Differential Topology
Par :Formats :
- Nombre de pages346
- PrésentationRelié
- FormatGrand Format
- Poids0.725 kg
- Dimensions15,7 cm × 23,5 cm × 2,6 cm
- ISBN978-1-107-15352-3
- EAN9781107153523
- Date de parution01/10/2018
- CollectionCambridge studies in advanced
- ÉditeurCambridge University Press
Résumé
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory.
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory.