Let T and T' be topologies on a set X such that T' is strictly finer than T. If Y is a subset of X, show that the subspace topology Tỷ is finer than Ty.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 23CM
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Let T and T' be topologies on a set X such that T' is strictly finer than T. If Y
is a subset of X, show that the subspace topology T is finer than Ty.
V.
V.
Transcribed Image Text:Let T and T' be topologies on a set X such that T' is strictly finer than T. If Y is a subset of X, show that the subspace topology T is finer than Ty. V. V.
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