{"id":{"repo_id":"anu","oai_identifier":"oai:openresearch-repository.anu.edu.au:1885/137440"},"canonical_url":"https://search.dev.ndltd.org/etd/anu/oai:openresearch-repository.anu.edu.au:1885/137440","repository":{"repo_id":"anu","name":"Australian National University","base_url":"https://openresearch-repository.anu.edu.au/server/oai/request"},"display":{"title":"Differentiable manifolds modelled on locally convex spaces","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 .","abstract_html":"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 .","abstract_has_math":false,"creators":["Truong, Công Nghệ"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1977,"date_issued":"1977","date_published":"1977","updated_at":"2026-07-24T00:54:30Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["b1016115"],"render_values":[{"text":"b1016115","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/1885/137440","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Truong, Công Nghệ"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-12-11T00:37:47Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-12-11T00:37:47Z"]},{"key":"dc:date.issued","label":"Date","values":["1977"]},{"key":"dc:type","label":"Dc Type","values":["Thesis (PhD)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["b1016115"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1885/137440"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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 ."]},{"key":"dc:title","label":"Title","values":["Differentiable manifolds modelled on locally convex spaces"]}]}],"canonical_facts":{"dc:creator":["Truong, Công Nghệ"],"dc:date.accessioned":["2017-12-11T00:37:47Z"],"dc:date.available":["2017-12-11T00:37:47Z"],"dc:date.issued":["1977"],"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:identifier.other":["b1016115"],"dc:identifier.uri":["http://hdl.handle.net/1885/137440"],"dc:language.iso":["en"],"dc:title":["Differentiable manifolds modelled on locally convex spaces"],"dc:type":["Thesis (PhD)"]},"updated_at":"2026-07-24T00:54:30Z"}