On elementary equivalence and isomorphism of clone segments |
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| Authors: | J Sichler V Trnková |
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| Institution: | (1) Department of Mathematics, University of Manitoba, R3T 2N2 Winnipeg, Canada;(2) Múuk, Sokolovská 83, 186 00 Praha 8, Czech Republic |
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| Abstract: | The principal application of a general theorem proved here shows that for any choice 1 mnp of integers there exist metric spacesX andY such that the initialk-segments of their clones of continuous maps coincide exactly whenkm, are isomorphic exactly whenkn, and are elementarily equivalent exactly whenkp.Dedicated to Prof. László Fuchs on the occasion of his 70th birthday |
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| Keywords: | Primary 54C05 Secondary 08A40 54E35 |
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