Consider the topology T on X= (a, b, c, d, e), (X, Ø, (a), (e,d}, {a, e, d), (b, c, d, e}} Show that by an example (a) AnaA = 0 and Ã = ÅU OA; (b) A = 0 if and only if A is both open and closed; (c) A is open if and only if 8A =A\A.

Consider the topology T on X= (a, b, c, d, e), (X, Ø, (a), (e,d}, {a, e, d), (b, c, d, e}} Show that by an example (a) AnaA = 0 and Ã = ÅU OA; (b) A = 0 if and only if A is both open and closed; (c) A is open if and only if 8A =A\A.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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Question

please help solve all

Consider the topology
T H
on X (a, b, c, d, e),
(X, Ø, (a), (c,d), (a, e, d), (b, c, d, e}}
Show that by an example
(a) AnaA = 0 and Ã = ÅU OA;
(b) A = 0 if and only if A is both open and closed;
(c) A is open if and only if 8A =A\A.

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