3. If f:(X,r)(Y.A) and g:(Y,A)→(Z,r) are open functions, prove that gof :(x.r)(Z.r) is open function.
3. If f:(X,r)(Y.A) and g:(Y,A)→(Z,r) are open functions, prove that gof :(x.r)(Z.r) is open function.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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If (XN ,r)——¥ A) and g :(Y ,A)—>(Z,1) are open functions, prove that g ef :(¥ ,r)——>(Z,1) is open function.
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