Equicontinuity of Maps on Figure-eight Space
โ Scribed by Rong-Bao Gu; Zong-Min Qiao
- Publisher
- Springer
- Year
- 2002
- Weight
- 88 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0129-2021
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We give a mapping space C(X, Y ) that is not M 3 , where X is a compact metrizable space and Y has the weak topology with respect to compact metrizable spaces, and show that C(X, Y ) is M 3 if X is a compact metrizable space and K(Y ) is M 3 .
Eilenberg proved that if a compact space X admits a zero-dimensional map f :X โ Y , where Y is m-dimensional, then there exists a map h :X โ I m+1 such that f ร h :X โ Y ร I m+1 is an embedding. In this paper we prove generalizations of this result for ฯ -compact subsets of arbitrary spaces. An exam