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Differentiable manifolds modelled on locally convex spaces

Truong, Công Nghệ

Description

We construct differentiable manifolds modelled on locally convex spaces using Yamamuro ' s theory of Γ-differentiation [81], [ 82] , manifolds which we term as Γ-manifolds . Then corresponding to the strong notion of BΓ-differentiability in Yamamuro ' s theory [82] we obtain the subclass of BΓ-manifolds . We show how to extend to these BΓ-manifolds the standard properties of Banach manifolds : The Smale Density Theorem [4] as well as the Transversality Theory [4]; [ 31] . As first...[Show more]

CollectionsOpen Access Theses
Date published: 1977
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/137440

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