Geodesic
Clone properties of topological spaces
Archivum mathematicum, Tome 42 (2006) no. 4, pp. 427-440

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Clone properties are the properties expressible by the first order sentence of the clone language. The present paper is a contribution to the field of problems asking when distinct sentences of the language determine distinct topological properties. We fully clarify the relations among the rigidity, the fix-point property, the image-determining property and the coconnectedness.
Classification : 54B10, 54C05
Keywords: finite products; clone; first order language; rigidity; fix-point property; image-determining property; coconnectedness 
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     author = {Trnkov\'a, V\v{e}ra},
     title = {Clone properties of topological spaces},
     journal = {Archivum mathematicum},
     pages = {427--440},
     publisher = {mathdoc},
     volume = {42},
     number = {4},
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     zbl = {1164.54317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_4_a7/}
}
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Trnková, Věra. Clone properties of topological spaces. Archivum mathematicum, Tome 42 (2006) no. 4, pp. 427-440. http://geodesic.mathdoc.fr/item/ARM_2006__42_4_a7/