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Inner points in certain holoidal semigroups

Part of the Lecture Notes in Mathematics book series (LNM,volume 998)

Keywords

  • Closed Subset
  • Commutative Semigroup
  • Semi Group
  • Compact Semigroup
  • Absolute Retract

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References

  1. L.W. Anderson, "On the breadth and codimension of a topological lattice," Pacific J. Math. 9(1959), 327–333.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. D.R. Brown, "Topological semilattices on the two cell," Pacific J. Math. 15(1965), 36–46.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. _____ and M. Friedberg, "Representation theorems for uniquely divisible semigroups," Duke Math. J. 35(1968), 341–352.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. __________, "A survey of compact divisible commutative semigroups," Semigroup Forum 1(1970), 143–161.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. __________, "Linear representations of certain compact semigroups," Trans. Amer. Math. Soc. 160(1971), 453–465.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. D.R. Brown and J.W. Stepp, "Inner points and breadth in certain compact semilattices," Proc. Amer. Math. Soc. (1982).

    Google Scholar 

  7. M. Friedberg, "Almost periodic functions, compactifications, and faces of finite dimensional cones," Math. Zeit. 176(1981), 53–61.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. _____, "Some examples of clans," Semigroup Forum 4(1972), 156–164.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. G. Gierz et al, "A compendium of continuous lattices," Heidelberg, 1980.

    Google Scholar 

  10. J.A. Hildebrant, "On compact unithetic semigroups," Pacific J. Math. 21(1967), 265–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. _____ and J.D. Lawson, "On semigroup compactifications,"

    Google Scholar 

  12. K.H. Hofmann and P.S. Mostert, "Elements of compact semigroups," Columbus, Ohio, 1966.

    Google Scholar 

  13. A.L. Hudson, "Some semigroups on the two cell," Proc. Amer. Math. Soc. 10(1959), 648–655.

    CrossRef  MathSciNet  Google Scholar 

  14. K. Keimel, "Lokal kompakte Kegelhalbgruppen und deren Einbettung in topologische Vektorraume," Math. Zeit. 99(1967), 7–25.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. R.J. Koch, "Arcs in partially ordered spaces," Pacific J. Math. 9(1959), 723–728.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. _____ and A.D. Wallace, "Maximal ideals in compact semigroups," Duke Math. J. 21(1954), 681–686.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. J.D. Lawson, "Vietoris mappings and embeddings of topological semilattices," U. Tenn. dissertation, 1967.

    Google Scholar 

  18. _____, "The relation of breadth and codimension in topological semilattices," Duke Math. J. 37(1970), 207–212.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. _____, "The relation of breadth and codimension in topological semilattices II," Duke Math. J. 38(1972), 555–559.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. _____ and B.L. Madison, "Peripheral and inner points," Fund. Math. 69(1970), 253–266.

    MathSciNet  MATH  Google Scholar 

  21. E.H. Spanier, "Algebraic topology," New York, N.Y., 1966.

    Google Scholar 

  22. J.W. Stepp, "Semilattices which are embeddable in a product of min intervals," Proc. Amer. Math. Soc. 28(1971), 81–86.

    MathSciNet  MATH  Google Scholar 

  23. A.D. Wallace, "An outline for algebraic topology I," Tulane University lecture notes, 1949.

    Google Scholar 

  24. _____, "A theorem on Acyclicity," Bull. Amer. Math. Soc. 67(1961), 123–124.

    CrossRef  MathSciNet  MATH  Google Scholar 

  25. _____, "Acyclicity of compact connected semigroups," Fund. Math. 50(1961), 99–105.

    MathSciNet  MATH  Google Scholar 

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© 1983 Springer-Verlag

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Brown, D.R., Stepp, J.W. (1983). Inner points in certain holoidal semigroups. In: Hofmann, K.H., Jürgensen, H., Weinert, H.J. (eds) Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups. Lecture Notes in Mathematics, vol 998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062026

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  • DOI: https://doi.org/10.1007/BFb0062026

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12321-7

  • Online ISBN: 978-3-540-40051-6

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