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Vera Fischer (Universität Wien)

Category
Models and Sets Seminar
Date
Date
Tuesday 8 February 2022
Category

Spectra and definability

In this talk, we will consider two aspects in the study of extremal sets of reals, sets like maximal families of eventually different functions, maximal cofinitary groups, or maximal independent families. On one side, we will discuss their spectrum, defined as the set of cardinalities of such families and on the other, the existence of witnesses of optimal projective complexity. We will emphasize recent developments in the area and indicate interesting remaining open questions.