Q52·Section II (Mathematics)·52 of 180Topology — a two-valued map and connectedness: only one direction holdsLet f:X→{+1,−1}f:X\to\{+1,-1\}f:X→{+1,−1} be a non-constant map defined on a topological space X. Then: OptionsAfff is never continuousBfff is continuous iff X is disconnectedCfff is continuous iff X is connectedDfff is continuous iff X is compactShow answer & discussionShow solution Report a problem with this question← Q51All questionsQ53 →Keyboard: A–D answer · S solution · ←/→ previous/next