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Scientific Seminar:
Topological Algebra

Speaker: 
Oleg Gutik

Talk: 
The semigroup of star partial homeomorphisms of a finite deminsional Euclidean space, II 
When & where:  January 23, 2019, at 16^{40 } at Room 149^{a} 
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 nonunit congruence on $\mathbf{PStH}_{\mathbb{R}^n}$ is a group congruence. 