Abstract
We give the first example of a locally quasi-convex (even countable reflexive and kω) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group AG (s) over a convergent sequence s.
Original language | English |
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Pages (from-to) | 3627-3632 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 146 |
Issue number | 8 |
DOIs | |
State | Published - 1 Jan 2018 |
Keywords
- Mackey group topology
- The Graev free abelian topological group
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics