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Modular lattices on the 3-cell are distributive

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References

  1. L. W. Anderson,On the distributivity and simple connectivity of plane topological lattices, Trans. Amer. Math. Soc.91 (1959), 102–112

    Google Scholar 

  2. D. E. Edmondson,A modular topological lattice, Pacific J. of Math.29 (1969), 271–277

    Google Scholar 

  3. D. E. Edmondson, A nonmodular compact connected topological lattice, Proc. Amer. Math. Soc.7 (1956), 1157–1158

    Google Scholar 

  4. G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove andD. S. Scott,A Compendium of Continuous Lattices, Springer Verlag, Berlin, Heidelberg, New York, Tokyo 1980

    Google Scholar 

  5. G.Gierz and A.Stralka,The Zariski topology for distributive lattices. Rocky Mountain J. of Math. to appear

  6. W. Hurewicz andH. Wallman,Dimension Theory, Princeton University Press, Princeton N.J., 1948

    Google Scholar 

  7. J. D. Lawson,Topological semilattices with small sublattices, J. London Math. Soc., (2),1 (1969), 719–724

    Google Scholar 

  8. J. D. Lawson,The relation of breadth and codimension in topological semilattices, Duke J. Math., Vol.37 (1970), pp. 207–212

    Google Scholar 

  9. J. D. Lawson,The relation of breadth and codimension in topological semilattices II, Duke J. Math., Vol.38 (1971), pp. 555–559

    Google Scholar 

  10. J. D. Lawson,Dimensionally stable semilattices, Semigroup Forum,5 (1972), 181–185

    Google Scholar 

  11. A.Mitschke and R.Wille,Freie modulare Verbände FM( D M 3 ). Proc. Lattice Theory Conf. Houston 1973, 383–396

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Authors and Affiliations

  1. University of California at Riverside, 92521-0135, Riverside, California, USA

    Gerhard Gierz & Albert R. Stralka

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  1. Gerhard Gierz
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  2. Albert R. Stralka
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Gierz, G., Stralka, A.R. Modular lattices on the 3-cell are distributive. Algebra Universalis 26, 1–6 (1989). https://doi.org/10.1007/BF01243868

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