Why does my inbox in Mail for Mountain Lion keep dropping its connection?

Hi guys

Seems a couple of people on the wider net are experiencing this problem. Still no solutions though.

When Mail has been open for a while, my inbox displays the error icon and if I click on it, I get this:

If I click on 'Take All Accounts Online', still the same. Sometimes if quit mail and reopen it it rectifies itself.

All account settings are correct, I have looked in Keychain for multiple entries, etc.There is nothing that seems out of place.

Please help!