On feebly compact semitopological semilattice $\exp_n\lambda$

zbMATH Open1438.20073arXiv1804.08239MaRDI QIDQ4973114

O. Sobol, Oleg Gutik

Publication date: 2 December 2019

Abstract: We study feebly compact shift-continous topologies on the semilattice $left(ex{p}_{n}lambda,capight)$. It is proved that such $T_1$-topology is sequentially pracompact if and only if it is $mathfrakD(omega)$-compact.

Full work available at URL: https://arxiv.org/abs/1804.08239

zbMATH Keywords

sunflower lemmasemitopological semilattice

Mathematics Subject Classification ID

Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Semigroup rings, multiplicative semigroups of rings (20M25) Topological lattices (06B30) Representation of semigroups; actions of semigroups on sets (20M30)

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