The right exactness of the smooth right Puppe sequence

 

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dc.contributor.advisor Cherenack, Paul F en_ZA
dc.contributor.author Dugmore, Brett en_ZA
dc.date.accessioned 2016-01-02T04:38:50Z
dc.date.available 2016-01-02T04:38:50Z
dc.date.issued 1996 en_ZA
dc.identifier.citation Dugmore, B. 1996. The right exactness of the smooth right Puppe sequence. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/16108
dc.description Bibliography: pages 64-65. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title The right exactness of the smooth right Puppe sequence en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Dugmore, 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/11427/16108 en_ZA
dc.identifier.chicagocitation Dugmore, 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/11427/16108 en_ZA
dc.identifier.vancouvercitation Dugmore 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/11427/16108 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


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