The power function

 

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dc.contributor.advisor Rose, Henry en_ZA
dc.contributor.author Ouwehand, Peter en_ZA
dc.date.accessioned 2016-10-19T13:36:29Z
dc.date.available 2016-10-19T13:36:29Z
dc.date.issued 1993 en_ZA
dc.identifier.citation Ouwehand, P. 1993. The power function. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/22201
dc.description.abstract The axioms of ZFC provide very little information about the possible values of the power function (i.e. the map K---->2ᴷ). In this dissertation, we examine various theorems concerning the behaviour of the power function inside the formal system ZFC , and we :;hall be p:trticul:trly interested in results which provide eonstraints on the possible values of the power function. Thus most of the results presented here will be consistency results. A theorem of Easton (Theorem 2.3.1) shows that, when restricted to regular cardinals, the power function may take on any reasonable value, and thus a considerable part of this thesis is concerned with the power function on singular cardinals. We also examine the influence of various strong axioms of infinity, and their generalization to smaller cardinals, on the possible behaviour of the power function. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics en_ZA
dc.title The power function 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 Ouwehand, P. (1993). <i>The power function</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/22201 en_ZA
dc.identifier.chicagocitation Ouwehand, Peter. <i>"The power function."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1993. http://hdl.handle.net/11427/22201 en_ZA
dc.identifier.vancouvercitation Ouwehand P. The power function. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1993 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/22201 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Ouwehand, Peter AB - The axioms of ZFC provide very little information about the possible values of the power function (i.e. the map K---->2ᴷ). In this dissertation, we examine various theorems concerning the behaviour of the power function inside the formal system ZFC , and we :;hall be p:trticul:trly interested in results which provide eonstraints on the possible values of the power function. Thus most of the results presented here will be consistency results. A theorem of Easton (Theorem 2.3.1) shows that, when restricted to regular cardinals, the power function may take on any reasonable value, and thus a considerable part of this thesis is concerned with the power function on singular cardinals. We also examine the influence of various strong axioms of infinity, and their generalization to smaller cardinals, on the possible behaviour of the power function. DA - 1993 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1993 T1 - The power function TI - The power function UR - http://hdl.handle.net/11427/22201 ER - en_ZA


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