  We embed an object with a singular horizon structure, reminiscent of (but
fundamentally different from, except in a limiting case) a black-hole event
horizon, in an expanding, spherically symmetric, homogeneous, Universe that has
a positive cosmological constant. Conformal representation is discussed. There
is a temperature/pressure singularity and a corresponding scalar curvature
singularity at the horizon. The expanding singular horizon ultimately bounds
the entire space-time manifold. It is is preceded by an expanding light front,
which separates the space-time affected by the singularity from that which is
not yet affected. An appropriately located observer in front of the light front
can have a Hubble-Lema\^itre constant that is consistent with that currently
observed.
