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E-compactness and continuous function spaces

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References

  1. P. Brucker, Verbände stetiger Funktionen und kettenwertige Homomorphismen,Math. Ann.,187 (1970), 77–84.

    Google Scholar 

  2. P. Brucker, Eine CharakterisierungK-kompakter topologischer Räume,Monatshefte für Mathematik,75 (1971), 14–25.

    Google Scholar 

  3. P. Brucker, Dualität zwischen Kategorien topologischer Räume und Kategorien vonK-Verbänden,Monatshefte für Mathematik,76 (1972), 385–397.

    Google Scholar 

  4. K. P. Chew, Structures of continuous functions IX, Homomorphisms of some function rings,Bull. Acad. Pol. Sci., Sér. Sci. Math. Astr. Phys.,19 (1971), 485–489.

    Google Scholar 

  5. K. P. Chew,N-compact spaces as limits of inverse systems of discrete spaces,J., Austr. Math. Soc.,14 (1972), 467–469.

    Google Scholar 

  6. K. P. Chew andS. Mrówka, Structures of continuous functions XI, Some type of homomorphisms of general structures of continuous functions,Bull. Acad. Pol. Sci., Sér. Sci. Math. Astr. Phys. 19 (1971), 1023–1026.

    Google Scholar 

  7. R. Engelking andS. Mrówka, OnE-compact spaces ibid.6 (1958), 429–436.

    Google Scholar 

  8. L. Gillman andM. Jerison,Rings of continuous functions, Van Nostrand (Princeton, 1960).

    Google Scholar 

  9. W. Govaerts, Representation and determination problems: a case study,Bull. Acad. Pol. Sci. Sér. Sci. Math. Astr. Phys.,24 (1976), 57–59.

    Google Scholar 

  10. W. Govaerts, A modified notion ofE-compactness, ibid.,, 61–64.

    Google Scholar 

  11. W. Govaerts, A separation axion for the study of function space structures, ibid.,, 65–69.

    Google Scholar 

  12. G. Grätzer,Universal algebra, Van Nostrand (Princeton, 1968).

    Google Scholar 

  13. M. Henriksen, On the equivalence of the ring, lattice and semigroup of continuous functions,Proc. Amer. Math. Soc.,7 (1956), 959–960.

    Google Scholar 

  14. E. Hewitt, Rings of real-valued continuous functions I,Trans. Amer. Math. Soc.,64 (1948), 45–99.

    Google Scholar 

  15. I. Kaplansky Topological rings,Amer. J. Math.,69 (1947), 153–183.

    Google Scholar 

  16. S. Mrówka, Further results onE-compact spaces I,Acta Math. 120 (1968), 161–185.

    Google Scholar 

  17. S. Mrówka, Structures of continuous functions I,Acta Math. Acad. Sci. Hungar.,21 (1970), 239–259.

    Google Scholar 

  18. R. S. Pierce, Rings of integer-valued continuous functions,Trans. Amer. Math. Soc.,100 (1961), 371–394.

    Google Scholar 

  19. Z. Semadeni,Banach spaces of continuous functions (vol. I) (Warszawa, 1971).

  20. J. Timm,Kommutative n-Gruppen, Diss. (Hamburg, 1967).

  21. P. Zenor, Extending completely regular spaces with inverse limits,Glasnik Matematički, Ser III5 (1970), 157–162.

    Google Scholar 

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Authors and Affiliations

  1. Seminarie Voor Hogere Analyse, Rijksuniversiteit Gent, Krijgslaan 271, B-9000, Gent, Belgium

    W. Govaerts

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  1. W. Govaerts
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The author was supported by the Belgian “Nationaal Fonds voor Wetenschappelijk Onderzoek”. The paper is part of a doctoral dissertation at the University of Ghent.

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Govaerts, W. E-compactness and continuous function spaces. Acta Mathematica Academiae Scientiarum Hungaricae 32, 235–242 (1978). https://doi.org/10.1007/BF01902360

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