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Keywords:

  • Three-space-property;
  • exact structure;
  • topologically exact sequences;
  • MSC (2010);
  • 18E10;
  • 18G50;
  • 46M18;
  • 46A13

Abstract

In this paper we present a characterization whether the restriction equation image of the exact structure equation image of an exact category equation image in the sense of Quillen on a full additive subcategory equation image of equation image is again an exact structure. We apply our characterization to the exact structure equation image of short topologically exact sequences in the quasi-abelian category equation image of locally convex spaces and subcategories thereof.