Diana Carolina Montoya (Kurt Gödel Research Center for Mathematical Logic)

Higher independence at regular cardinals

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In the first part of this talk I will introduce the classical concept of a maximal independent family and its main properties. The second part of the talk will be devoted to deal with the generalisation of independence for regular uncountable cardinals. I will show the differences and similarities with the classical setting, as well as new lines of research that appear when dealing with this generalisation.

Finally, I will mention some recent results of Vera Fischer and myself regarding independence.