Comment by gowld
8 days ago
The common metric on the reals one of only two that exist as completions of Q!
The other is the p-padics (basically, low-order bits matter more than high-order bits), which have distance but not ordering.
8 days ago
The common metric on the reals one of only two that exist as completions of Q!
The other is the p-padics (basically, low-order bits matter more than high-order bits), which have distance but not ordering.
There are infinitely many different p-adic completions of the rationals for each prime p, so we have 2-adics, 3-adics, 5-adics etc, all different.