| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659554 | Topology and its Applications | 2012 | 9 Pages |
Abstract
We discuss algebraic properties of density-type topologies generated by functions. We examine Δ2 condition, similar to the condition considered in the theory of Orlicz spaces. We show that a topology Tf coarser than the density topology is invariant under multiplication by nonzero numbers if and only if f fulfills Δ2 condition. We also show that for other topologies generated by functions, connections between algebraic properties of Tf and Δ2 condition are more complicated.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
