Inverness-shire Inverness-shire is Scotland's largest county, and the second largest in the UK as a whole after Yorkshire. It borders Ross to the north, Nairnshire, Moray, Banffshire and Aberdeenshire to the east, and Perthshire and Argyll to the south. It covers a large mainland area and various island areas off the west coast. The mainland area has coastline in both the east and the west. The island areas include North Uist, South Uist and Harris in the Outer Hebrides and Skye and the Small Isles in the Inner Hebrides. Principal settlements include Inverness, Fort William, Fort Augustus and Portree. Inverness-shire's coat
Principal bundle action of on is just right multiplication. The fibers are the left cosets of (in this case there is a distinguished fiber, the one containing the identity, which is naturally isomorphic to ). Consider the projection given by . This principal -bundle is the associated bundle of the Möbius strip. Besides the trivial bundle, this is the only principal -bundle over . Projective spaces provide some more interesting examples of principal bundles. Recall that the -sphere is a two-fold covering space of real projective space . The natural action of on gives it the structure of a principal -bundle over