1 votes 1 votes Let $f : X \rightarrow Y$ be a continuous map between metric spaces. Then $f(X)$ is a complete subset of $Y$ if The space $X$ is compact The space $Y$ is compact The space $X$ is complete The space $Y$ is complete Linear Algebra tifrmaths2014 vector-space non-gate + – makhdoom ghaya asked Dec 17, 2015 edited Aug 17, 2020 by soujanyareddy13 makhdoom ghaya 305 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.