Nonstandard analysis and differentiable manifolds - Foundations

We approach the study of di erentiable manifolds modeled on Banach spaces by means of Nonstandard Analysis. We stay inside the category of classical manifolds and using nonstandard analysis techniques, we present some new nonstandard characterizations for the tangent bundle, di erentiable function,...

Full description

Bibliographic Details
Main Author: Almeida, R (author)
Format: article
Language:eng
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10773/4151
Country:Portugal
Oai:oai:ria.ua.pt:10773/4151