Archive: | 2008/09 | 2009/10 | 2010/11 | 2011/12 | 2012/13 | 2013/14 | 2014/15 | 2015/16 | 2016/17 | 2017/18 | 2018/19 |

 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.

| Archive | Home |