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arXiv · 1205.5855

On \v{C}ech-completeness of the space of order-preserving functionals

Sh. A. Ayupov·A. A. Zaitov
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Abstract

In this paper we establish that if a Tychonoff space $X$ is \v{C}ech-complete then the space $O_\tau(X)$ of all $\tau$-smooth order-preserving, weakly additive and normed functionals is also \v{C}ech-complete

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Sh. A. Ayupov, A. A. Zaitov. 2012-05-26. On \v{C}ech-completeness of the space of order-preserving functionals. https://arxiv.org/abs/1205.5855

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