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Chains of Modular Elements and Lattice Connectivity

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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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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN, 47405, USA

    Patricia Hersh

  2. Department of Mathematics, Washington University, St. Louis, MO, 63130, USA

    John Shareshian

Authors
  1. Patricia Hersh
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  2. John Shareshian
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Correspondence to John Shareshian.

Additional information

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

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