Let X be a locally compact Hausdorff space which is not compact; Let X* be one-point compactificatin of X. Then X' is a compact Hausdorff space and X = X". %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Let X be a locally compact Hausdorff space which is not
compact; Let X* be one-point compactificatin of X. Then X" is a compact
Hausdorff space and X = X".
Transcribed Image Text:Let X be a locally compact Hausdorff space which is not compact; Let X* be one-point compactificatin of X. Then X" is a compact Hausdorff space and X = X".
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