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Scientific Seminar:
Topological Algebra

Speaker: 
Taras Mokrytskyi

Talk: 
On the dychotomy of a locally compact semitopological monoid $\mathcal{IPF}(\mathbb{N}^n)^0$ of order isomorphisms of principal filters of a power of the positive integers with adjoined zero, II 
When & where:  March 6, 2019, at 16^{40 } at Room 372 
Abstract: 
Let $n$ be any positive integer and $\mathcal{IPF}(\mathbb{N}^n)$ be the semigroup of all order isomorphisms between principal filters of the $n$th power of the set of positive integers $\mathbb{N}$ with the product order. We show that every Hausdorff locally compact shiftcontinuous toplogy on $\mathcal{IPF}(\mathbb{N}^n)^0=\mathcal{IPF}(\mathbb{N}^n)\sqcup\{0\}$ is either compact or discrete. 