Geodesic
The functor of order-preserving functionals of finite degree
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 11, Tome 313 (2004), pp. 135-138
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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. 
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A. A. Zaitov. The functor of order-preserving functionals of finite degree. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 11, Tome 313 (2004), pp. 135-138. http://geodesic.mathdoc.fr/item/ZNSL_2004_313_a2/

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