Let f be a continuous mapping of a metric space X into metric space Y,g be a continuous mapping of metric space Y into metric space Z.  Then gof ia a continues mapping of X into Z

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...
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Let f be a continuous mapping of a metric space X into metric space Y,g be a continuous mapping of metric space Y into metric space Z.
 Then gof ia a continues mapping of X into Z

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