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Logic Seminar: An Introduction to Combinatorial Cardinal Characteristics of the Continuum

Andreas Blass
Wednesday, September 27, 2023
1:00-2:30 PM
4088 East Hall Map
In many contexts, countable sets behave very differently from sets of the cardinality c of the continuum. If we do not assume the continuum hypothesis, there may be cardinal numbers strictly between countable and c. So it makes sense to ask which of these cardinals behave like countable and which behave like c. To any such context, we associate a cardinal characteristic, namely the smallest cardinal that behaves like c. I plan to introduce a few of the most widely studied cardinal characteristics and describe connections between them. I'll include a few proofs, intended as easy illustrations of more generally applicable methods.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Logic Seminar - Department of Mathematics, Department of Mathematics