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Scientific Seminar:

Topological Algebra
Founded by Igor Guran & Oleg Gutik in 2007



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 1640 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 shift-continuous toplogy on $\mathcal{IPF}(\mathbb{N}^n)^0=\mathcal{IPF}(\mathbb{N}^n)\sqcup\{0\}$ is either compact or discrete.



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