Remarks on Convergence Linear Spaces
Remarks on Convergence Linear Spaces
Summary: Topologies in linear spaces that generate \({\mathcal F}{\mathcal L}{\mathcal U}{\mathcal S}{\mathcal H}\) convergences satisfying certain conditions of diagonal type are discussed. Maximal (coarse) convergences are also studied. In particular, it is shown that coarse convergences are not normable. Some open questions are posed.
- University of Trieste Italy
Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), maximal convergences, topologies in linear spaces, \({\mathcal F}{\mathcal L}{\mathcal U}{\mathcal S}{\mathcal H}\) convergences, coarse convergences
Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), maximal convergences, topologies in linear spaces, \({\mathcal F}{\mathcal L}{\mathcal U}{\mathcal S}{\mathcal H}\) convergences, coarse convergences
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