\(I(L)\)-topological groups and its level \(L\)-topological groups (Q2372282)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(I(L)\)-topological groups and its level \(L\)-topological groups |
scientific article |
Statements
\(I(L)\)-topological groups and its level \(L\)-topological groups (English)
0 references
26 July 2007
0 references
Let \(X\) be a group. The authors show that an \(I(L)\)-topology on \(X\) compatible with the group structure is essentially a \([0,1)\)-indexed chain of \(L\)-topologies on \(X\) compatible with the group structure.
0 references
\(L\)-fuzzy unit interval
0 references
\(I(L)\)-valued lower semi-continuous mapping
0 references
\(I(L)\)-topological group
0 references
0 references
