Abstract
It is proved that the space of all order-preserving functionals with finite supports is a compact, and if the supports are one-point sets, then this space is the Stone-Chech compactification of a given Tychonoff space. Bibliography: 4 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 313, 2004, pp. 135–138.
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Zaitov, A.A. The Functor of Order-Preserving Functionals of Finite Degree. J Math Sci 133, 1602–1603 (2006). https://doi.org/10.1007/s10958-006-0071-4
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DOI: https://doi.org/10.1007/s10958-006-0071-4