Abstract
We show that the order complex of any finite lattice with a chain \(\widehat{0} < m_{1} < \cdots < m_{r} < \widehat{1}\) of modular elements is at least (r−2)-connected.
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The first author was supported during part of this work by a postdoctoral fellowship from the Mathematical Sciences Research Institute. The second author was supported by NSF grant DMS-0300483.
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Hersh, P., Shareshian, J. Chains of Modular Elements and Lattice Connectivity. Order 23, 339–342 (2006). https://doi.org/10.1007/s11083-006-9053-x
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DOI: https://doi.org/10.1007/s11083-006-9053-x