topology

[luminousxx0]

R real numbers set gives its accustomed topology. What is the interior and the closure of the set Z x {1,2,...,100} according to the topology based on R^2=R x R multiplication?

 

[Deleted member 4993]

R real numbers set gives its accustomed topology. What is the interior and the closure of the set Z x {1,2,...,100} according to the topology based on R^2=R x R multiplication?

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[pka]

R real numbers set gives its accustomed topology. What is the interior and the closure of the set Z x {1,2,...,100} according to the topology based on R^2=R x R multiplication?

I assume that you have studied the product topology?
The set in question is a subset of \(\mathbb{Z}\times\mathbb{Z}\) which is discrete with an empty interior.
For that reason alone, I find this to be an odd question at best.