The Baire set fixing property and uniform continuity in topological groups
โ Scribed by Jason Gait
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 527 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 ฮด -subsets of G, Y a uniform space and H a set of continuous map
For a subset A of an -group B, r(A, B) denotes the relative uniform closure of A in B. R X denotes the -group of all real-valued functions on the set X, and when X is a topological space, C \* (X) is the -group of all bounded continuous real-valued functions, and B(X) is the -group of all Baire func
The existence of a continuous Chebyshev selection for a Hausdorff continuous set-valued mapping is studied in a Banach space with some uniform convexity. As applications, some existence results of Chebyshev fixed point for condensing set-valued mappings are given, and the existence of Chebyshev solu