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Congruences on semigroups of continuous selfmaps

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References

  1. Borsuk, K.,Theory of retracts, Polska Akademia Nauk Monografie Matatyczne, Polish Scientific Publishers, Warszawa (1967).

    Google Scholar 

  2. Clifford, A. H. and G. B. Preston,The algebraic theory of subgroups, Math Surveys 7, Vol. II, Amer. Math. Soc., Providence R.I., (1967).

    Google Scholar 

  3. Cook, H.,Continua which admit only the identity mapping onto nondegenerate subcontinua, Fund. Math. 60 (1967) 241–249.

    MATH  MathSciNet  Google Scholar 

  4. DeGroot, J.,Groups represented by homeomorphism groups, I, Math. Annalen 138 (1959) 80–102.

    Article  MathSciNet  Google Scholar 

  5. Kuratowski, K.,Topology, Vol. I, Academic Press, New York (1966).

    Google Scholar 

  6. —,Topology, Vol. II. Academic Press, New York (1968).

    Google Scholar 

  7. Magill, Jr., K. D.,A survey of semigroups of continuous selfmaps, Semigroup Forum 3 (1975/76) 189–282.

    Article  MathSciNet  Google Scholar 

  8. —,Semigroups with only finitely many regular &-classes, Semigroup Forum (25) 3/4 (1982) 361–377.

    MathSciNet  Google Scholar 

  9. Magill, Jr., K. D.Semigroups in which &and D and J coincide for regular elements, Semigroup Forum (25) 3/4 (1982).

  10. Magill, Jr., K. D., An embedding theorem for semigroups of continuous selfmaps (to appear).

  11. Magill, Jr., K. D.,The largest proper congruence on S(X) (to appear).

  12. —, P. R. Misra and U. B. Tewari,Unifying congruences on S(I), Semigroup Forum 21 (1980) 361–371.

    Article  MATH  MathSciNet  Google Scholar 

  13. Mallig, Jr., K. M., P. R. Misra and U. B. Tewari,Epimorphisms from S(X)onto S(Y) (to appear).

  14. Sutov, E. G.,Homorphisms of certain semigroups of continuous functions, Sibirsk Mat. Z. 4 (1963) 693–701.

    Google Scholar 

  15. Whyburn, G. T.,Analytic Topology, AMS Colloquium Publication (28) New York (1942).

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Communicated by P. S. Mostert

Dedicated to Professor E. S. Lyapin on his 70th birthday

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Magill, K.D. Congruences on semigroups of continuous selfmaps. Semigroup Forum 29, 159–182 (1984). https://doi.org/10.1007/BF02573323

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  • DOI: https://doi.org/10.1007/BF02573323

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