Y. Péresse

most citedSierpiński rank of the Symmetric inverse semigroup

3 citations · 3 across the 1 of their papers we have counts for

collaborators

3 papers

math.GR2018

Topological Transformation Monoids

Z. Mesyan, J. D. Mitchell, Y. H. Péresse

We investigate semigroup topologies on the full transformation monoid T(X) of an infinite set X. We show that the standard pointwise topology is the weakest Hausdorff semigroup top…

math.GR2018

Sets of universal sequences for the symmetric group and analogous semigroups

James Hyde, Julius Jonušas, James D. Mitchell +1

A universal sequence for a group or semigroup $S$ is a sequence of words $w_{1}, w_{2}, \dots$ such that for any sequence $s_{1}, s_{2}, \dots \in S$ , the equations $w_{n} = s_{n}$ , $n\in \ma…

math.GR2012★ 3 cited

Sierpiński rank of the Symmetric inverse semigroup

James T. Hyde, Yann Péresse

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 resul…