In an older article (see Are coordinate projections in the Skorokhod space continuous?) the proof is given that the projections are continuous for x=0 and x=1. How can I conclude from $d(f,g)\geq\max\{|f(0)-g(0)|,f(1)-g(1)\}$ that they are continuous?
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What is the definition if $d(f,g)$ ? – Kroki Aug 03 '17 at 10:03
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You find the definition in the link – RandomUser Aug 03 '17 at 10:15