On the Möbius function of a pointed graded lattice

DOI10.1007/s13226-018-0255-xzbMath1401.05029OpenAlexW2794130352MaRDI QIDQ1799423

Samuel Asefa Fufa, Melkamu Zeleke

Publication date: 18 October 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-018-0255-x

zbMATH Keywords

partitionMöbius functionconesimplicial complexhomology groupsimplicial mapposet mapcontractiblepointed partition

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Combinatorics of partially ordered sets (06A07) Simplicial sets and complexes in algebraic topology (55U10)

Cites Work

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• The homology of ``\(k\)-equal manifolds and related partition lattices
• A basis for the homology of the \(d\)-divisible partition lattice
• The Möbius function of partitions with restricted block sizes
• Poset fiber theorems
• Shellable Nonpure Complexes and Posets. I
• On the poset of partitions of an integer

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