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Epimorphisms of Separated Superconvex Spaces

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Abstract

We give characterizations of the epimorphisms in the categories of (pre)separated convex and separated superconvex spaces.

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References

  1. Adámek, J., Herrlich, H. and Strecker, G. E.: Abstract and Concrete Categories, Wiley, New York, 1989.

    Google Scholar 

  2. Börger, R. and Kemper, R.: A cogenerator for preseparated superconvex spaces, Applied Categorical Structures 4 (1996), 361–370.

    Google Scholar 

  3. Kemper, R.: Epimorphisms of absolutely convex spaces, Comm. Algebra 22(8) (1994), 3183–3195.

    Google Scholar 

  4. Kemper, R.: Epimorphisms of discrete totally convex spaces, Comm. Algebra 23(3) (1995), 965–974.

    Google Scholar 

  5. Kemper, R.: Epimorphisms of separated totally convex spaces, Applied Categorical Structures 3 (1995), 363–370.

    Google Scholar 

  6. Meier, N.: Kongruenzen auf totalkonvexen Räumen, Ph.D. Thesis, Fernuniversität, Hagen (1993).

    Google Scholar 

  7. Pumplün, D.: Banach spaces and superconvex modules, in Behare et al. (eds.), Symposia Gaussiana, Conf. A, De Gruyter, Berlin, New York (1995), 323–338.

  8. Pumplün, D.: Regularly ordered Banach spaces and positively convex spaces, Results in Mathematics 7 (1984), 85–112.

    Google Scholar 

  9. Pumplün, D. and Röhrl, H.: Banach spaces and totally convex spaces I, Comm. Algebra 12 (1984), 953–1019.

    Google Scholar 

  10. Pumplün, D. and Röhrl, H.: Banach spaces and totally convex spaces II, Comm. Algebra 13 (1985), 1047–1113.

    Google Scholar 

  11. Pumplün, D. and Röhrl, H.: Convexity theories IV, Klein-Hilbert parts in convex modules, Applied Categorical Structures 3 (1995), 173–200.

    Google Scholar 

  12. Pumplün, D. and Röhrl, H.: Separated totally convex spaces, Manuscripta Math. 50 (1985), 145–183.

    Google Scholar 

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Kemper, R. Epimorphisms of Separated Superconvex Spaces. Applied Categorical Structures 5, 217–228 (1997). https://doi.org/10.1023/A:1008678317459

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  • DOI: https://doi.org/10.1023/A:1008678317459

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