April 15th, 2018, 01:12 PM  #1 
Newbie Joined: Jul 2014 From: Wrexham Posts: 20 Thanks: 0  Open cover
I’m using the usual Euclidean metric on ℝ^2 and the induced metric on P. Am I correct in thinking that a dpopen cover of P={(x, cosx) x∈ℝ} would be {(x, cosx) x∈(n,n):n∈ℕ}? Also is {ℝ^2} be a dopen cover that is finite and {(x,y)∈(n,n) y∈ℝ} be a dopen cover that is not finite? 
April 17th, 2018, 08:51 AM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  Quote:
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