7 citations · 12 across the 6 of their papers we have counts for
7 papers
Maximal subgroups of homeomorphism groups
S. Bardyla, L. Elliott, Y. Péresse
We show that the homeomorphism groups of the following spaces have precisely maximal subgroups: the rational numbers , the Baire space $\mathbb{N}^{\…
Maximal Subsemigroups of Infinite Symmetric Inverse Monoids
M. Hampenberg, Y. Péresse
The symmetric inverse monoid on a set consists of all bijective functions whose domain and range are subsets of under the usual composition and inversion of partial f…
Classifying the Polish semigroup topologies on the symmetric inverse monoid
Serhii Bardyla, Luna Elliott, James Mitchell +1
We classify all Polish semigroup topologies on the symmetric inverse monoid on the natural numbers. This result answers a question of Elliott et al. There are countably infinitely…
Polish topologies on endomorphism monoids of relational structures
L. Elliott, J. Jonušas, J. D. Mitchell +2
In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid of a countable r…
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…
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 is a sequence of words such that for any sequence , the equations , $n\in \ma…
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…