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arXiv · 1804.08239

On feebly compact semitopological semilattice $\exp_n\lambda$

Oleg Gutik·Oleksandra Sobol
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Abstract

We study feebly compact shift-continous topologies on the semilattice $\left(\exp_n\lambda,\cap\right)$. It is proved that such $T_1$-topology is sequentially pracompact if and only if it is $\mathfrak{D}(\omega)$-compact.

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Oleg Gutik, Oleksandra Sobol. 2018-04-23. On feebly compact semitopological semilattice $\exp_n\lambda$. https://arxiv.org/abs/1804.08239

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