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math.RA2025
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…
math.RA2024
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…