Let T: R? → R be the projection onto the first coordinate and A = {(x,y)|x > 0 or y = 0}. Let q be the restriction of n, to A. Show that q is a quotient map that is neither open nor closed.
Let T: R? → R be the projection onto the first coordinate and A = {(x,y)|x > 0 or y = 0}. Let q be the restriction of n, to A. Show that q is a quotient map that is neither open nor closed.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 71CR: Let V be an inner product space. For a fixed nonzero vector v0 in V, let T:VR be the linear...
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