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The Functor of Order-Preserving Functionals of Finite Degree

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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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REFERENCES

  1. T. Radul, “On the functor of order-preserving functionals,” Comm. Math. Univ. Carol., 39, No.3, 609–615 (1998).

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  3. V. N. Basmanov, “Covariant functors of finite degrees on the category of bicompact spaces,” Fundam. Prikladn. Matem., 2, No.3, 637–654 (2002).

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Authors and Affiliations

  1. The V. I. Romanovskii Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Uzbekistan

    A. A. Zaitov

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  1. A. A. Zaitov
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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

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