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More on Configurations in Priestley Spaces, and Some New Problems

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Abstract

Prohibiting configurations (≡ induced finite connected posets) in Priestley spaces and properties of the associated classes of distributive lattices, and the related problem of configurations in coproducts of Priestley spaces, have been brought to satisfactory conclusions in case of configurations with a unique maximal element. The general case is, however, far from settled. After a short survey of known results we present the desired answers for a large (although still not complete) class of configurations without top.

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Authors and Affiliations

  1. Department of Mathematics, University of Denver, Denver, CO, 80208, USA

    R. N. Ball

  2. Department of Applied Mathematics and ITI, MFF, Charles University, CZ 11800, Malostranské nám. 25, Praha 1, Czech Republic

    A. Pultr

  3. Department of Mathematics, University of Manitoba, Winnipeg, R3T 2N2, Canada

    J. Sichler

Authors
  1. R. N. Ball
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  2. A. Pultr
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  3. J. Sichler
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Corresponding author

Correspondence to A. Pultr.

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Dedicated to Bernhard Banaschewski.

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Ball, R.N., Pultr, A. & Sichler, J. More on Configurations in Priestley Spaces, and Some New Problems. Appl Categor Struct 15, 457–472 (2007). https://doi.org/10.1007/s10485-006-9037-4

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  • DOI: https://doi.org/10.1007/s10485-006-9037-4

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