On the Nachbin compactification of products of totally ordered spaces

Autor: D. C. Kent, Dongmei Liu, T. A. Richmond

Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 4, Pp 665-676 (1995)

Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.

Externí odkaz: https://doaj.org/article/fb6b8803d194439c99b0c2e7030ec53c

The Nachbin compactification via convergence ordered spaces

Autor: D. C. Kent, Dongmei Liu

Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 4, Pp 645-652 (1993)

We construct the Nachbin compactification for a T3.5-ordered topological ordered space by tailing a quotient of an ordered convergence space compactification. A variation of this quotient construction leads to a compactification functor on the catego

Externí odkaz: https://doaj.org/article/30ec374321674281ab78abc225df549e

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Compactification of closed preordered spaces

Autor: Ettore Minguzzi

Publikováno v: Scopus-Elsevier
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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Applied General Topology, Vol 13, Iss 2, Pp 207-223 (2012)

A topological preordered space admits a Hausdorff closed preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions. We construct the largest Hausdorff closed preorder compac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9bb8daa98fa70530a88960aac79a19f
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