# antichain

## Saturated $k$-Sperner Systems of Minimum Size ★★

Author(s): Morrison; Noel; Scott

**Question**Does there exist a constant and a function such that if , then every saturated -Sperner system has cardinality at least ?

Keywords: antichain; extremal combinatorics; minimum saturation; saturation; Sperner system

## Antichains in the cycle continuous order ★★

Author(s): DeVos

If , are graphs, a function is called *cycle-continuous* if the pre-image of every element of the (binary) cycle space of is a member of the cycle space of .

**Problem**Does there exist an infinite set of graphs so that there is no cycle continuous mapping between and whenever ?