What is a path on the Topologist's comb between (0,1) and (1,0)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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What is a path on the Topologist's comb between (0,1) and (1,0)? Note that the Topologist's Comb is not the same as the Topologist's Wave.

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