The right exactness of the smooth right Puppe sequence

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dc.contributor.advisorCherenack, Paul Fen_ZA
dc.contributor.authorDugmore, Bretten_ZA
dc.date.accessioned2016-01-02T04:38:50Z
dc.date.available2016-01-02T04:38:50Z
dc.date.issued1996en_ZA
dc.descriptionBibliography: pages 64-65.en_ZA
dc.description.abstractIt was our aim, in this thesis, to give a proof that the smooth right Puppe sequence exists and is right exact, following the methods used by Whitehead in (30], and where he shows that the usual continuous right Puppe sequence exists and is right exact. We have only partially been able meet this aim. We have attempted to follow the general approach of Steenrod [27], where he defines neighbourhood deformation retracts, but there are some difficulties involved in the theory of smooth neighbourhood deformation retracts that have made it necessary for us to assume the existence of a 'suitable' smooth structure on products such as I x X x Y, where (X, A), and (Y, B) are smooth neighbourhood deformation retracts, such that the product, defined as (X x Y, Ax Y U X x A), is an SNDR pair under this 'suitable' product structure. This enables us to develop the theory of smooth neighbourhood deformation retracts in a similar way to the theory of continuous neighbourhood deformation retracts.en_ZA
dc.identifier.apacitationDugmore, B. (1996). <i>The right exactness of the smooth right Puppe sequence</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/16108en_ZA
dc.identifier.chicagocitationDugmore, Brett. <i>"The right exactness of the smooth right Puppe sequence."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1996. http://hdl.handle.net/11427/16108en_ZA
dc.identifier.citationDugmore, B. 1996. The right exactness of the smooth right Puppe sequence. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Dugmore, Brett AB - It was our aim, in this thesis, to give a proof that the smooth right Puppe sequence exists and is right exact, following the methods used by Whitehead in (30], and where he shows that the usual continuous right Puppe sequence exists and is right exact. We have only partially been able meet this aim. We have attempted to follow the general approach of Steenrod [27], where he defines neighbourhood deformation retracts, but there are some difficulties involved in the theory of smooth neighbourhood deformation retracts that have made it necessary for us to assume the existence of a 'suitable' smooth structure on products such as I x X x Y, where (X, A), and (Y, B) are smooth neighbourhood deformation retracts, such that the product, defined as (X x Y, Ax Y U X x A), is an SNDR pair under this 'suitable' product structure. This enables us to develop the theory of smooth neighbourhood deformation retracts in a similar way to the theory of continuous neighbourhood deformation retracts. DA - 1996 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1996 T1 - The right exactness of the smooth right Puppe sequence TI - The right exactness of the smooth right Puppe sequence UR - http://hdl.handle.net/11427/16108 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/16108
dc.identifier.vancouvercitationDugmore B. The right exactness of the smooth right Puppe sequence. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1996 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16108en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleThe right exactness of the smooth right Puppe sequenceen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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