spac (a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and not closed. 3- If X = {a, b, c, d, e} and T = {0, X, {a}, {c, d}, {a, c, d}, {b, c, d, e}} is topology on X, then the components of X are: a- {a} and {c, d), b- {a} and {a, c, d), c- {a} and {b, c, d, e}, d- X.
spac (a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and not closed. 3- If X = {a, b, c, d, e} and T = {0, X, {a}, {c, d}, {a, c, d}, {b, c, d, e}} is topology on X, then the components of X are: a- {a} and {c, d), b- {a} and {a, c, d), c- {a} and {b, c, d, e}, d- X.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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Transcribed Image Text:2- If (X, T) is disconnected space then there existing subset of X which is:
(a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and
not closed.
3- If X = {a, b, c, d, e) and T = {0, X, {a}, {c, d}, {a, c, d}, {b, c, d, e}} is topology on
X, then the components of X are:
a-{a} and {c, d), b- {a} and {a, c, d), c- {a} and {b, c, d, e), d- X.
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