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Quasicomponents, Čech Systems, and approximate Systems

We shall prove that if X is a Hausdorff paracompactum with at least one nontrivial quasicomponent, then none of its Cech systems can be commutative and none can support the… Click to show full abstract

We shall prove that if X is a Hausdorff paracompactum with at least one nontrivial quasicomponent, then none of its Cech systems can be commutative and none can support the structure of an approximate inverse system.

Keywords: ech systems; systems approximate; quasicomponents ech; approximate systems

Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2021

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