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International Conference on Interdisciplinary Mathematical and Statistical Techniques - IMST 2008 / FIM XVI
May 16-18, 2008
University of Memphis
Memphis, TN, USA

Organizers
Sat Gupta, M.L. Aggarawal, James Jamison

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Searching for a Sperner family
by
Dániel Gerbner
Rényi Institute, Budapest

Let F be a filter. The family of its minimal members is a Sperner family. Our goal is to determine this family. We can ask if a set is in F or not. In this generality this problem has been solved by Hansel. We examine some cases when some restrictions are known.

Date received: March 14, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawu-96.