On Čech-completeness of the space of order-preserving functionals

preprint2012arXivOpen access

In this paper we establish that if a Tychonoff space $X$ is Čech-complete then the space $O_τ(X)$ of all $τ$ -smooth order-preserving, weakly additive and normed functionals is also Čech-complete

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On Čech-completeness of the space of order-preserving functionals

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