The Metric Theory Of Banach Manifolds (lecture Notes In Mathematics ; 662)

Ethan Akin. Includes Index. Bibliography: P. [301]-302. Atlases....Pages 1-13 Function spaces....Pages 14-43 Metric structures....Pages 44-106 Manifolds of mappings....Pages 107-153 Uniform and holder continuity....Pages 154-173 Immersions and submersions....Pages 174-226 Grassmannians and leaf immersions....Pages 227-266 Finite dimensional manifolds....Pages 267-300 This book describes the category of metric manifolds and metric maps to which a broad class of theorems and constructions extend from the realm of compact manifolds. The category is a broad one because all paracompact manifolds admit metric structures