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A construction of the greatest ambit

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References

  1. N. Bourbaki,Elements of Mathematics, General Topology, Parts 1 and 2, Hermann, Paris, 1966.

    Google Scholar 

  2. W. W. Comfort andK. A. Ross, Pseudocompactness and uniform continuity in topological groups,Pacific J. Math. 16 (1966), 483–496.

    Google Scholar 

  3. Robert Ellis, Universal minimal sets,Proc. Amer. Math. Soc. 11 (1960), 540–543.

    Google Scholar 

  4. Peter Flor, Über eine Kompaktifizierung topologischer Gruppen,J. Reine Angew. Math. 228 (1967), 193–198.

    Google Scholar 

  5. T. E. Gantner, Some corollaries to the metrization lemma,Amer. Math. Monthly 76 (1969), 45–47.

    Google Scholar 

  6. W. H. Gottschalk, Dynamical aspects of orbit-closures,Topological Dynamics, An International Symposium edited by Joseph Auslander and W. H. Gottschalk, Benjamin, New York, 1968, pp. 217–224.

    Google Scholar 

  7. W. H. Gottschalk andG. A. Hedlund,Topological Dynamics, Amer. Math. Soc. Colloquium Publications, vol. 36, Amer. Math. Soc., Providence, 1955.

    Google Scholar 

  8. T. J. Huang, On the theory of ambits and the proximal relation in topological dynamics, Dissertation, Wesleyan University, Middletown, Connecticut, 1969.

    Google Scholar 

  9. Pierre Samuel, Ultrafilters and compactification of uniform spaces,Trans. Amer. Math. Soc. 64 (1948), 100–132.

    Google Scholar 

  10. Silviu Teleman, Sur la représentation linéaire des groupes topologiques,Ann. Sci. Ecole Norm. Sup. 74 (1957), 319–339.

    Google Scholar 

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Brook, R.B. A construction of the greatest ambit. Math. Systems Theory 4, 243–248 (1970). https://doi.org/10.1007/BF01691107

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