Geodesic
On a characterization of the unit interval in terms of clones
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 153-164.

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This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
Classification : 03C65, 54C05, 54F65
Keywords: clones of topological spaces; algebraic theories; unit interval 
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Barkhudaryan, Artur. On a characterization of the unit interval in terms of clones. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 153-164. http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a10/