Answered: 6) Let p and q be two points in a set,… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 94E

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6) Let p and q be two points in a set, X. Consider the two collections
of subsets of X:
I = {Ø, X, U|pE U and q E U}
1
I = {Ø,
2
X, U\p E Uor q E U}
(i) Prove that T is a topology on X or show that it is not.
1
(ii) Prove that T is a topology on X or show that it is not.
2

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