Lindelöf covering theorem

English edit

Etymology edit

Named after Ernst Leonard Lindelöf (1870–1946), a Finnish mathematician.

Proper noun edit

Lindelöf covering theorem

  1. (topology) A theorem which states that for any open covering of some given set in Euclidean n-space there is an open subcovering (of that same set) which is countable.

References edit

  • Tom M. Apostol (1957) Mathematical Analysis : A Modern Approach to Advanced Calculus, Reading, Massachusetts, U.S.A.: Addison-Wesley Publishing Company, Inc., published 1960, LCCN 57008707, §3-7, page 54