Splitting finite antichains in the homomorphism order
英文摘要：
A structural condition is given for finite maximal antichains in the homomorphism order of relational structures to have the splitting property. It turns out that non-splitting antichains appear only at the bottom of the order. Moreover, we examine looseness and finite antichain extension property for some subclasses of the homomorphism poset. Finally, we take a look at cut-points in this order.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
