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Prime Interger Topology
Posted:
Oct 20, 2013 10:17 PM


On Sun, 20 Oct 2013, fom wrote:
> By the way, I just formulated an arithmetic based on > my set theoretic axioms and the fact that the natural > numbers enjoy a topology called the prime integer topology.
The prime integer topology for N is the topology generated by the subbase Bs = { (n + pN) /\ N  n in Z, p prime }
What if the prime integer topology were applied to Z?
> The formal sentences are long and ungainly,
Not simple.
> It is not the usual arithmetic.
Nor is padic arithmetic.



