An Analogue of Covering Space Theory for Ranked Posets
An Analogue of Covering Space Theory for Ranked Posets
Suppose $P$ is a partially ordered set that is locally finite, has a least element, and admits a rank function. We call $P$ a weighted-relation poset if all the covering relations of $P$ are assigned a positive integer weight. We develop a theory of covering maps for weighted-relation posets, and …