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arXiv · 1211.6284

Sierpi\'nski rank of the Symmetric inverse semigroup

James T. Hyde·Yann Péresse
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Abstract

We show that every countable set of partial bijections from an infinite set to itself can be obtained as a composition of just two such partial bijections. This strengthens a result by Higgins, Howie, Mitchell and Ru\v{s}kuc stating that every such countable set of partial bijections may be obtained as the composition of two partial bijections and their inverses.

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James T. Hyde, Yann Péresse. 2012-11-27. Sierpi\'nski rank of the Symmetric inverse semigroup. https://arxiv.org/abs/1211.6284

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