On equicontinuity and continuous convergence
β Scribed by C. H. Cook; H. R. Fischer
- Publisher
- Springer
- Year
- 1965
- Tongue
- English
- Weight
- 842 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In our earlier papers we investigated function space structures in FTS, the category of fuzzy topological spaces and in FCS, the category of fuzzy convergence spaces. This paper is devoted to the study of function space structures in FUS, the category of fuzzy uniform spaces due to Lowen. We develop
Let G be an almost metrizable topological group (for example, a locally compact group). This paper is concerned with the proof of two principal results. First, the following criterion for equicontinuity is proved: Let X be a union of G Ξ΄ -subsets of G, Y a uniform space and H a set of continuous map
We discuss the notions of pointwise convergence, continuous convergence and even continuity, which were previously deΓΏned for fuzzy convergence spaces using preΓΏlters, in fuzzy neighborhood spaces and show that these concepts can there be described entirely using ordinary ΓΏlters.