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.
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
Keywords: clones of topological spaces; algebraic theories; unit interval
@article{CMUC_1999_40_1_a10,
author = {Barkhudaryan, Artur},
title = {On a characterization of the unit interval in terms of clones},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {153--164},
year = {1999},
volume = {40},
number = {1},
mrnumber = {1715208},
zbl = {1060.54512},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_1_a10/}
}
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/