(4) For a discrete topology on X and o ACX, the closure of A is A. (5) For an Indiscrete topology on X = (a, b.c) and A = (a, b), the limit points of A is (a, b). (6) For the usual topology on and A (2,5), the interior points of A is (2, 5).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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This is equations of notes(Topology) True or False
(4) For a discrete topology on X and o AC X, the closure of A is A.
(5) For an Indiscrete topology on X = (a, b.c} and A = {a, b], the limit points of A is (a, b).
(6) For the usual topology on and A (2,5), the interior points of A is (2,5).
(7) For a cofinite topology on X and a finite subset A of X, the exterior points of A is A.
(8) B = (la, b).(a, c}} is a base for a topology T on X = {a, b, c, d}.
(9) Every subspace of a discrete space is discrete.
(10) b(A) =
A n (A)
Transcribed Image Text:(4) For a discrete topology on X and o AC X, the closure of A is A. (5) For an Indiscrete topology on X = (a, b.c} and A = {a, b], the limit points of A is (a, b). (6) For the usual topology on and A (2,5), the interior points of A is (2,5). (7) For a cofinite topology on X and a finite subset A of X, the exterior points of A is A. (8) B = (la, b).(a, c}} is a base for a topology T on X = {a, b, c, d}. (9) Every subspace of a discrete space is discrete. (10) b(A) = A n (A)
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