8. Prove that the union of two domains is a domain if and only if they have atleast one point in common.Note: you may use the (topological) fact that union of two open sets (in C) is open (in C).

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Answered: 8. Prove that the union of two domains…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 26E: Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.

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8. Prove that the union of two domains is a domain if and only if they have at least one point in common. Note: you may use the (topological) fact that union of two open sets (in C) is open (in C).