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Representations of algebraic theories by continuous maps

Published online by Cambridge University Press:  09 April 2009

J Sichler  and
V. Trnková
J Sichler
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Canada R3T 2N2, e-mail: sichler@cc.umanitoba.ca
V. Trnková
Affiliation:
Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic, e-mail: trnkova@karlin.mff.cuni.cz
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Abstract

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Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 2 , April 1999 , pp. 255 - 286
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Adámek, J., Herrlich, H. and Strecker, G., Abstract and concrete categories (Wiley, New York, 1990).Google Scholar
[2]Čech, E., Topological spaces revised by Z. Frolík and M. Katětov (Academia, Praha, 1966).Google Scholar
[3]Lawvere, F. W., ‘Functorial semantics of algebraic theories’, Proc. Nat. Acad. Sci. USA 50 (1963), 869–872.CrossRefGoogle ScholarPubMed
[4]Magill, K. D. Jr., ‘A survey of semigroups of continuous selfmaps’, Semigroup Forum 11 (1975/1976), 189–282.CrossRefGoogle Scholar
[5]McKenzie, R., McNulty, G. and Taylor, W., Algebras, lattices, varieties volume 1 (Brooks/Cole, Monterey, California, 1987).Google Scholar
[6]Sichler, J. and Trnková, V., ‘Isomorphism and elementary equivalence of clone segments’, Period. Math. Hungar. 32 (1996), 113–128.CrossRefGoogle Scholar
[7]Taylor, W., The clone of a topological space, Research and Exposition in Mathematics, 13 (Helderman, Berlin, 1986).Google Scholar
[8]Tozzi, A. and Trnková, V., ‘Clone segments of Tychonoff modification of a space’, to appear in Appl. Categ. Structures.Google Scholar
[9]Trnková, V., ‘Semirigid spaces’, Trans. Amer. Math. Soc. 343 (1994), 305–325.CrossRefGoogle Scholar
[10]Trnková, V., ‘Continuous and uniformly continuous maps of powers of metric spaces’, Topology Appl. 63 (1995), 189–200.CrossRefGoogle Scholar
[11]Trnková, V., ‘Clone segments in Top and Unif’, in: Categorical topology, Proceedings of the L'Aquila Conference 1994 (Kluwer Acad. Publ., Dordrecht, 1996) pp. 269–278.Google Scholar
[12]Trnková, V., ‘Representation of algebraic theories and nonexpanding maps’, to appear in J. Pure Appl. Alg.Google Scholar