Inflation risk is the risk that rising prices reduce what an investment's future payments will buy. The SEC names it among the risks every investor carries and states the mechanism plainly: "Inflation reduces purchasing power, which is a risk for investors receiving a fixed rate of interest."
The refinement that makes the idea usable is that the risk is not the inflation itself. It is the part of the inflation nobody had priced in. A bond issued today is bought and sold by people who already have a view about what prices will do over its life, and that view is embedded in the yield they accept. If inflation then runs at exactly the expected rate, the buyer receives precisely the deal they knowingly made, however much purchasing power the nominal dollars lost along the way. What harms the holder is inflation arriving higher than expected, and what benefits them is inflation arriving lower. The material on inflation covers what inflation is, how it is measured and which assets have historically kept pace; this page is about the gap between what was expected and what happened.