Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

Details Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

2011-12-24

arxiv.org/abs/1112.5727v1

Mathematics

General Topology

6 pages

Scientific paper

In this paper we introduce perfectly supportable semigroups and prove that
they are \sigma-discrete in each Hausdorff shift-invariant topology. The class
of perfectly supportable semigroups includes each subsemigroup S of the
semigroup FRel(X) of finitely supported relations on an infinite set X such
that S contains the group FSym(X) of finitely supported permutations of X.

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