5. Let X be the space of reals with the topology T = {X, [0, 1], 0) (Example 2.1(b)), and let A = [(-1, 1] and B = [2, 3]. Find the derived set, the closure, the interior, and the boundary of each of the sets A and B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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Basic Topological Spaces: Kindly solve on a sheet of paper(Note there are parts to this question)

2.2 Base for a Topology 39
5. Let X be the space of reals with the topology T = {X, [0, 1], 0} (Example
2.1(b)), and let A = [-1, 1] and B = [2, 3]. Find the derived set, the closure,
the interior, and the boundary of each of the sets A and B.
Transcribed Image Text:2.2 Base for a Topology 39 5. Let X be the space of reals with the topology T = {X, [0, 1], 0} (Example 2.1(b)), and let A = [-1, 1] and B = [2, 3]. Find the derived set, the closure, the interior, and the boundary of each of the sets A and B.
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