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Scientific Seminar:

Topological Algebra
Founded by Igor Guran & Oleg Gutik in 2007



Speaker: Oleg Gutik

Talk:

The semigroup of star partial homeomorphisms of a finite deminsional Euclidean space, II

When & where: January 23, 2019, at 1640 at Room 149a
Abstract:

We describe the structure of the semigroup $\mathbf{PStH}_{\mathbb{R}^n}$ of star partial homeomorphisms of a finite deminsional Euclidean space $\mathbb{R}^n.$ The structure of the band of $\mathbf{PStH}_{\mathbb{R}^n}$ and Green's relations on $\mathbf{PStH}_{\mathbb{R}^n}$ are described. We show that $\mathbf{PStH}_{\mathbb{R}^n}$ is a bisimple inverse semigroup and every non-unit congruence on $\mathbf{PStH}_{\mathbb{R}^n}$ is a group congruence.



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