Let B C R" be any set. Define C = {x € R" | d(x,y) <...

Question

Question

Let B C R be any set. Define C = {x € R | d(x,y) < 1 for some y E B) Show that C is open.

math Advanced-Math

Answer 1

Answer #1

let B CR C RER! SR C ={RER I door <1 for some YEBZ. To show! c is open. Let nec & there wrist YEB such that dex.p<1. let drai

Answer 2

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