Interpolation sets in spaces of continuous metric-valued functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.053
Abstract: Let $X$ and $M$ be a topological space and metric space, respectively. If $C(X,M)$ denotes the set of all continuous functions from X to M, we say that a subset $Y$ of $X$ is an… read more here.
Keywords: interpolation sets; continuous metric; metric valued; sets spaces ... See more keywords
On metric spaces where continuous real valued functions are uniformly continuous and related notions
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.02.005
Abstract: Abstract Given a metric space X = ( X , d ) we show in ZF that: (a) The following are equivalent: (i) For every two closed and disjoint subsets A , B of X,… read more here.
Keywords: real valued; continuous real; spaces continuous; uniformly continuous ... See more keywords