  Considering two antipodal observers in de Sitter space, we illustrate how
spacetime connectivity between the holographic screens located on the
(stretched) horizons emerges from holographic entanglement. To do so, we
construct a covariant holographic entanglement entropy prescription in de
Sitter space, including quantum corrections. While this prescription is
inspired by the bilayer proposal, we argue that the monolayer proposal appears
to be inconsistent. Entanglement wedge reconstruction implies an extension of
static patch holography where the exterior region connecting the static patches
is included, and reconstructible from the two screens. A phase transition
occurs where there is an exchange of dominance between two competing quantum
extremal surfaces, leading to a transfer of the encoding of the exterior region
from one screen to the other. The effects in the bulk of integrating out
degrees of freedom from the screens are discussed.
