arXiv:1211.6284 Abstract | arXiv Analytics

arXiv:1211.6284 [math.GR]Abstract References Reviews Resources

Sierpiński rank of the Symmetric inverse semigroup

Published 2012-11-27Version 1

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.

Categories: math.GR, math.RA

Keywords: symmetric inverse semigroup, partial bijections, sierpiński rank, countable set, infinite set

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