We have got used to lock tightly at cold first signs all windows in apartment not to let out precious heat.
Certainly, in addition to overcool to the ill person it is not perfect to what, immunity at it and so it is undermined by virus attack. But the long finding in not aired premise can harm, as the ill person allocates the viruses which concentration in air becomes high and interferes with recover.
How it is correct? Follows, on the contrary, as it is possible to open is more often than a window, letting in apartment pure cold air. In it the minimum of viruses contains, after all these thermophilic beings hate differences of temperatures and in a cold don't survive. So the more often air sated with an infection will be replaced pure, the more usefully for your health.