Heine-Borel theorem References Heine-Borel theorem mathematics Ask Anything Homework Help Written by The Information Architects of Encyclopaedia Britannica The Information Architects maintain a master list of the topics included in the corpus of Encyclopædia Britannica, and create and manage the relationships between them. The Information Architects of Encyclopaedia Britannica Britannica AI Ask Anything Learn about this topic in these articles: compactness…compactness was motivated by the Heine-Borel theorem for Euclidean space, which states that compactness of a set is equivalent to the set’s being closed and bounded. Read More…compactness was motivated by the Heine-Borel theorem for Euclidean space, which states that compactness of a set is equivalent to the set’s being closed and bounded. Read More