Homotopy and homology of finite lattices (Q1408535)
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scientific article; zbMATH DE number 1985371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy and homology of finite lattices |
scientific article; zbMATH DE number 1985371 |
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Homotopy and homology of finite lattices (English)
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24 September 2003
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Summary: We exhibit an explicit homotopy equivalence between the geometric realizations of the order complex of a finite lattice and the simplicial complex of coreless sets of atoms whose join is not \(\widehat 1\). This result, which extends a theorem of Segev, leads to a description of the homology of a finite lattice, extending a result of Björner for geometric lattices.
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homotopy equivalence
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order complex of a finite lattice
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simplicial complex of coreless sets of atoms
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homology
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geometric lattices
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0.9504473
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0.9419967
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0.9385642
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0.92831284
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0.9267105
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0.9238585
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