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SUMMARY:Graduate Student Colloquium: Jillian Cervantes
DESCRIPTION:The Axiom of Choice and Non-Lebesgue Measurable Sets\nJillian Cervantes\nGraduate Student\nUniversity of Wisconsin-Milwaukee \nIn this expository talk\, we explore an interesting connection between the axiom of choice and the existence of non-Lebesgue measurable subsets of \mathbb{R}. We state the axiom of choice and discuss its meaning and significance before reviewing properties of measures\, Lebesgue measure\, and Lebesgue measurable sets. The talk concludes with a construction which uses the axiom of choice to prove the existence of non-Lebesgue measurable sets.
URL:/math/event/graduate-student-colloquium-jillian-cervantes-2/
LOCATION:WI
CATEGORIES:Graduate Student Colloquia
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