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Elementary Submodels of Function Spaces


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dc.contributor.advisorFeng, Ziqin
dc.contributor.authorWeiner, Gabriel
dc.date.accessioned2023-08-11T16:02:29Z
dc.date.available2023-08-11T16:02:29Z
dc.date.issued2023-08-11
dc.identifier.urihttps://etd.auburn.edu//handle/10415/8964
dc.description.abstractIn this thesis we develop the now-standard tool of elementary submodels and apply the technique to topological function spaces. We show that many cardinal relations regarding function spaces hold in suitable models. Furthermore, we give an example of a function space and submodel in which the tightness increases when passing to the model and prove that it is consistent that perfect normality is downwards preserved in submodels.en_US
dc.subjectMathematics and Statisticsen_US
dc.titleElementary Submodels of Function Spacesen_US
dc.typeMaster's Thesisen_US
dc.embargo.statusNOT_EMBARGOEDen_US
dc.embargo.enddate2023-08-11en_US

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