# On the existence of mandatory representation designs

• Kim, Jeongjin (Department of Mathematics Myongji University, Yongin, Korea 449-800)
• Published : 1997.02.01

#### Abstract

Let X be a finite set of elements that we shall call points. Let I be a set called an indexing set. A mapping $B : I \longrightarrow P(X)$ is called a family of blocks on X. For each $i \in I, B(i)$ is also written as $B_i$. We always assume \mid$B_i$\mid$\geq 2$ for each $i \in I$.

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