Differentiable manifolds modelled on locally convex spaces
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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]
dc.contributor.author | Truong, Công Nghệ | |
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dc.date.accessioned | 2017-12-11T00:37:47Z | |
dc.date.available | 2017-12-11T00:37:47Z | |
dc.date.copyright | 1977 | |
dc.identifier.other | b1016115 | |
dc.identifier.uri | http://hdl.handle.net/1885/137440 | |
dc.description.abstract | 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 applications , we give several simple results about genericity of smooth maps using our Γ-technique instead of the usual standard Banach techniques . | |
dc.format.extent | 1 v | |
dc.language.iso | en | |
dc.subject.lcsh | Differentiable manifolds | |
dc.subject.lcsh | Locally convex spaces | |
dc.title | Differentiable manifolds modelled on locally convex spaces | |
dc.type | Thesis (PhD) | |
local.contributor.supervisor | Yamamuro, Sadayuki | |
dcterms.valid | 1977 | |
local.description.notes | Thesis (Ph.D.)--Australian National University, 1977. This thesis has been made available through exception 200AB to the Copyright Act. | |
local.type.degree | Doctor of Philosophy (PhD) | |
dc.date.issued | 1977 | |
local.contributor.affiliation | The Australian National University | |
local.identifier.doi | 10.25911/5d70ebdcd4678 | |
dc.date.updated | 2017-11-22T22:27:50Z | |
local.identifier.proquest | Yes | |
local.mintdoi | mint | |
Collections | Open Access Theses |
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b10161156_Truong, C?ng Ngh?.pdf | 59.59 MB | Adobe PDF |
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