A note on Möbius functions of upho posets
The electronic journal of combinatorics, Tome 29 (2022) no. 2
A poset is called upper homogeneous (or "upho") if every principal order filter of the poset is isomorphic to the whole poset. We observe that the rank and characteristic generating functions of upho posets are multiplicative inverses of one another.
@article{10_37236_11084,
author = {Sam Hopkins},
title = {A note on {M\"obius} functions of upho posets},
journal = {The electronic journal of combinatorics},
year = {2022},
volume = {29},
number = {2},
doi = {10.37236/11084},
zbl = {1547.06012},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11084/}
}
Sam Hopkins. A note on Möbius functions of upho posets. The electronic journal of combinatorics, Tome 29 (2022) no. 2. doi: 10.37236/11084
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