Let (X, T1) and (Y, T2) be topological spaces. Show that the set {U × Y ∣ U ∈ T1} ∪ {X × V ∣ V ∈ T2} is a subbasis for the product topology of X × Y..
Let (X, T1) and (Y, T2) be topological spaces. Show that the set {U × Y ∣ U ∈ T1} ∪ {X × V ∣ V ∈ T2} is a subbasis for the product topology of X × Y..
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, T1) and (Y, T2) be topological spaces. Show that the set
{U × Y ∣ U ∈ T1} ∪ {X × V ∣ V ∈ T2}
is a subbasis for the product topology of X × Y..
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