EDITORIAL BOARD : Béla BOLLOBÁS University of Memphis ; William FULTON University of Michigan ; Anatole KATOK Pennsylvania State University ; Frances KIRWAN University of Oxford ; Peter SAMAK Princeton University ; Barry SIMON California Institute of Technology ; Burt TOTARO University of California, Los Angeles.
Differential Topology
Par :Formats :
- Nombre de pages346
- FormatGrand Format
- PrésentationRelié
- 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.
L'éditeur en parle
Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure offers advanced students and researchers an accessible route into the wide-ranging field of differential topology.