Show that any open subset of R (w. standard topology) is a countable union of open...

Show that any open subset of R (w. standard topology) is a countable union of open intervals. Please explain how to do, I only understand why it is true.
What is required to fully prove this. What definitions should I be using.

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Colby Messinger answered 1 year ago

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fp=open("us-counties.2.txt","r") #open file for reading fout=open('Linsey.Prichard.County.Seats.Manipulated.txt','w') #file for writting states=[i.strip() for i in fp.readlines()] #read the...

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