TY - GEN AU - Engel, Konrad TI - Sperner theory, Vol. 65 SN - 9780521452069 U1 - 511.32 ENG PY - 1997/// CY - Cambridge PB - Cambridge University Press KW - Algebraic Topology KW - Combinatorial Set Theory KW - Partially Ordered Sets KW - Sperner Theory N2 - The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative ER -