The Pullback for bornological and ultrabornological spaces


Counter examples show that the notion of a pullback cannot be transferred from the category of locally convex spaces to the category of bornological or ultrabornological locally convex spaces. This answers in the negative a question asked to the authors by W. Rump.

DOI Code: 10.1285/i15900932v25n1p63

Keywords: Pullback; Bornological spaces; Ultrabornological spaces

Classification: 46A05; 46A09

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