6. Prove that an open interval (a, b) considered as a subspace of the real line is homeomorphic to the real line.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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6. Prove that an open interval (a, b) considered
as a subspace of the real line is homeomorphic
to the real line.
Transcribed Image Text:6. Prove that an open interval (a, b) considered as a subspace of the real line is homeomorphic to the real line.
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