Homotopy type and Euler characteristic of partially ordered sets
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Publication:1158177
DOI10.1016/S0195-6698(81)80045-5zbMath0472.06004OpenAlexW2022675845MaRDI QIDQ1158177
Publication date: 1981
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0195-6698(81)80045-5
idealsfinite chainshomotopy equivalencecontractiblehomology isomorphismproduct of posetsacyclic carrier theoremcoherent cutsetCross-cutisotone map of finite posetsMoebius numbersRota's Galois connection theorem
Partial orders, general (06A06) Exact enumeration problems, generating functions (05A15) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
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Cites Work
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- A note on fixed points in semimodular lattices
- Homotopy type of posets and lattice complementation
- Zeta polynomials and the Möbius function
- Fixed points and complements in finite lattices
- A fixed point theorem for finite partially orderes sets
- Galois connections and the Leray spectral sequence
- Homotopy properties of the poset of nontrivial p-subgroups of a group
- The homology of a lattice
- Shellable and Cohen-Macaulay Partially Ordered Sets
- Higher algebraic K-theory: I
- On the Applications of Mobius Inversion in Combinatorial Analysis
- The Möbius function of a lattice
- Invariance of the Homology of a Lattice
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- Fixed points in partially ordered sets
- The structure of Sperner k-families