Hostname: page-component-5447f9dfdb-tm5m8 Total loading time: 0 Render date: 2025-07-28T11:14:51.795Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Information

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