Toronto Math Forum

MAT334--2020F => MAT334--Lectures & Home Assignments => Chapter 1 => Topic started by: Jessica Long on September 23, 2020, 10:57:04 PM

Title: Section 1.3 Q15
Post by: Jessica Long on September 23, 2020, 10:57:04 PM

I can see from the visual of the sets that D₁ ∩ D₂ is not connected, but I'm not sure how to prove this. I figure we would start by assuming the set is connected and there exists a polygonal curve in the set between some two points and then trying to derive a contradiction, but I don't know how to show the contradiction in this case.

Title: Re: Section 1.3 Q15
Post by: Victor Ivrii on September 24, 2020, 01:33:32 AM

Simple observation is enough