On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of ℕn with adjoined zero

Taras Mokrytskyi

Анотація


Let n be any positive integer and IPFℕn be the semigroup of all order isomorphisms between principal filters of the n-th power of the set of positive integers ℕ with the product order.  We prove that a Hausdorff locally compact semitopological semigroup IPFℕn with an adjoined zero is either compact or discrete.

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DOI: http://dx.doi.org/10.30970/vmm.2019.87.037-045

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