A prosthesis is disclosed for placement at an Os opening from a main body lumen to a branch body lumen. The prosthesis includes a radially expansible support at one end, a circumferentially extending link at the other end and at least one frond extending axially therebetween. The support is configured to be deployed in the branch body lumen, with the circumferentially extending link in the main lumen and the frond extendable across the Os.