Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let f be an open covering of A. Thenthere is a countable subcollection of which also covers A.

We need to prove given Lindelof covering theorem.

Answered: Theorem (Lindelöf covering theorem):…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...

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Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let fl be an open covering of A. there is a countable subcollection of which also covers A.