The pullback for bornological and ultrabornological spaces. (English) Zbl 1223.46003

Bonet, J.; Dierolf, S.

Note Mat. 25(2005/2006), No. 1, 63-67 (2006).

Summary: 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.

MSC:

46A08

Barrelled spaces, bornological spaces

Keywords:

pullback; bornological spaces; ultrabornological spaces