Portree Portree Portree (; , ) is the largest town on Skye in the Inner Hebrides of Scotland. It is the location for the only secondary school on the island, Portree High School. Public transport services are limited to buses. Portree has a harbour, fringed by cliffs, with a pier designed by Thomas Telford. Attractions in the town include the Aros centre which celebrates the island's Gaelic heritage. Further arts provision is made through arts organisation ATLAS Arts, a Creative Scotland regularly-funded organisation. The town also serves as a centre for tourists exploring the island. The Royal Hotel is the site
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