Comment by gowld
11 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.
11 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.