user: Classify each of the words as singular or plural: lions, bee, door, fence, ocean, lakes, people

assistant: Lions: Plural
Bee: Singular
Door: Singular
Fence: Singular
Ocean: Singular
Lakes: Plural
People: Plural

user: Where is the Rudka County

assistant: Rudka is a village in the administrative district of Gmina Trzcianka, within Czarnków-Trzcianka County, Greater Poland Voivodeship, in west-central Poland. It lies approximately 8 kilometres (5 mi) south of Trzcianka, 13 km (8 mi) north-west of Czarnków, and 72 km (45 mi) north-west of the regional capital Poznań.

user: Extract the two properties that are sufficient to show that a subset of Euclidean space is compact. Present these properties in a bullet list.

assistant: 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