Abstract
The symmetric inverse semigroup I(X) on a set X is the collection of all partial bijections between subsets of X with composition as the algebraic operation. We study the minimal Hausdorff inverse semigroup topology on I(X). We present some characterizations of it. When X is countable such topology is Polish.
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16 March 2022
A Correction to this paper has been published: https://doi.org/10.1007/s00233-022-10262-w
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Communicated by Michael Mislove.
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This work was partially supported by grants No. 4.583 of Fundación para la Promoción de la Investigación y la Tecnología, Banco de La República, Colombia and VIE-8041 of Universidad Industrial de Santander.
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Pérez, J., Uzcátegui, C. Topologies on the symmetric inverse semigroup. Semigroup Forum 104, 398–414 (2022). https://doi.org/10.1007/s00233-021-10242-6
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DOI: https://doi.org/10.1007/s00233-021-10242-6