The conversation between human and AI assistant.
[|Human|] Extract the two properties that are sufficient to show that a subset of Euclidean space is compact. Present these properties in a bullet list.
[|AI|] According to the Heine-Borel theorem the following properties are sufficient to show that a subset of Euclidean space is compact:
- The set is closed
- The set is bounded
[|Human|] 
Extract the two properties that are sufficient to show that a subset of Euclidean space is compact. Present these properties in a bullet list.