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Problems related to Sperner set systems
thesisposted on 2022-12-09, 11:09 authored by ADAM JAMES GOWTY
As part of his seminal work, Sperner introduced Sperner set systems, which are a family of sets that now form one of the cornerstones of extremal set theory. This thesis examines a number of different families of sets closely related to Sperner set systems, and presents both constructions for "large" examples of these families, as well as upper bounds on the maximum size of these families.