In reply to LeeWood:
You’re right, high pressure systems can, and often do, create inversion, but not always, and the height of the inversion will vary considerably each time.
It’s also correct that inversions will trap pollutants beneath it, leading to hazy conditions, although this will tend to depend on where the air has originated from, and is typically associated with a high extending from continental Europe, or to a lesser extent a home grown one, where there are plenty of sources of pollutants. If it originates over the north Atlantic or the Arctic, it is going to be largely free of pollutants (although salt particles can help create clouds). Temperature will have an effect too. Under cold conditions the air will be denser and less able to hold pollutants aloft than warm air. Think of those crisp cold high pressure days in winter with crystal clear skies. The really hazy high pressure conditions normally occur in summer when more pollutants are able to be suspended in the warmer air.
The recent nice weather, at least across England, has been due to high pressure over central/eastern Europe. However, as it’s still early in the year it is relatively cold air so hence the lack of hazy conditions, although I agree that the reduced air pollution will have significantly added to this as well.