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Injective and Epi-Projective Objects in Categories of Convex Spaces

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Abstract

We give a characterization of injective and epi-projective objects in some categories of convex spaces.

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References

  1. Börger, R. and Kemper, R.: Cogenerators for convex spaces, Applied Categorical Structures 2 (1994), 1–11.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  4. Pumplün, D.: Banach Spaces and Superconvex Modules; Symposia Gaussiana, Conf. A, Behara, Fritsch, Lintz (eds), Walter de Gruyter, Berlin; New York (1995), pp. 323–338.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  9. Wickenhäuser, A.: Positively Convex Spaces I, Seminarberichte, Fachbereich Mathematik, Fernuniversität, Hagen, 30 (1988), 119–172.

    Google Scholar 

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Kemper, R. Injective and Epi-Projective Objects in Categories of Convex Spaces. Applied Categorical Structures 6, 345–354 (1998). https://doi.org/10.1023/A:1008650014457

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  • DOI: https://doi.org/10.1023/A:1008650014457

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