Geodesic
Disciplined Spaces and Centralizer Clone Segments
Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1296-1323

Voir la notice de l'article provenant de la source Cambridge University Press

Our main result implies that for any choice 1 ≤ m ≤ n ≤ p of integers there exist finitary algebras A1 and A2 that generate the same variety, and such that the initial k-segments of their centralizer clones coincide exactly when k ≤ m, are isomorphic exactly when k ≤ n and are elementarily equivalent exactly when k ≤ p. The proof uses the existence and properties of disciplined topological spaces which we introduce and investigate here.
DOI : 10.4153/CJM-1996-069-5
Mots-clés : 08C05, 54C05, 08B25, 54E35, clone segments, continuous maps of powers of metric spaces, centralizer clones of universal algebras 
Trnková, V.; Sichler, J. Disciplined Spaces and Centralizer Clone Segments. Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1296-1323. doi: 10.4153/CJM-1996-069-5
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