| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659995 | Topology and its Applications | 2009 | 8 Pages |
Abstract
The concepts of equicontinuity, even continuity, topological equicontinuity and the newly defined concepts of compact equicontinuity and compact topological equicontinuity are compared. It is shown that for a set of group homomorphisms from a semitopological group to a topological group all these notions of equicontinuities coincide. It is shown also that an infinite-dimensional normed space endowed with its weak topology is an example of a space which does not satisfy the Ascoli theorem in Noble's sense.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
