Receiving, transmitting, and generating streamed timed media data organized into temporal media segments, the timed media data belonging to partitioned timed media data comprising timed samples, each timed sample comprising a plurality of subsamples, the timed media data being transmitted as at least two media segment files, each comprising at least one independently encapsulated component. A manifest comprises a dependency item of information indicating a dependency relation between components and a dependency characterization item of information for interpreting the dependency item of information. Alternatively, the manifest comprises at least two different descriptions of at least one component, a first description comprising at least a first dependency item of information indicating a dependency relation from the at least one component to another component and a second description comprising at least a second dependency item of information indicating a dependency relation from another component to the at least one component.