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A Boolean topological orthomodular poset

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Abstract

Wilce introduced the notion of a topological orthomodular poset and proved any compact topological orthomodular poset whose underlying orthomodular poset is a Boolean algebra is a topological Boolean algebra in the usual sense. Wilce asked whether the compactness assumption was necessary for this result. We provide an example to show the compactness assumption is necessary.

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  1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, 88003, USA

    John Harding

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  1. John Harding
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Correspondence to John Harding.

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Presented by S. Pulmannova.

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Harding, J. A Boolean topological orthomodular poset. Algebra Univers. 68, 193–196 (2012). https://doi.org/10.1007/s00012-012-0203-2

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  • DOI: https://doi.org/10.1007/s00012-012-0203-2

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