Let X = {1,2, 3, 4} and let T {ø, X, {1}, {3},{1,3}} be a topology on X, then {2, 4} is a. open in (X, T) b. closed in (X, T) c. clopen in (X,T) d. neither open nor closed

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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Let X = {1,2, 3, 4} and let T {ø, X, {1}, {3}, {1,3}} be a topology on X, then {2, 4} is
a. open in (X, T)
b. closed in (X, T)
c. clopen in (X,T)
d. neither open nor closed
Transcribed Image Text:Let X = {1,2, 3, 4} and let T {ø, X, {1}, {3}, {1,3}} be a topology on X, then {2, 4} is a. open in (X, T) b. closed in (X, T) c. clopen in (X,T) d. neither open nor closed
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