  We report on X-ray observations of the core of the Shapley Supercluster.
Combining data from pointed observations of the ROSAT PSPC detector and data
from the ROSAT All-Sky Survey, the observed region covers an area of $6^\circ
\times 3^\circ$. It contains the central clusters A3562, A3558 and A3556.
  We find clear evidence for X-ray emission connecting the three clusters. This
confirms the existence of a filamentary, physical structure embedding the three
clusters A3562, A3558 and A3556. We also find evidence for faint emission
westwards of A3556. In total, the extension of the filamentary X-ray emission
of the core of the Shapley Supercluster amounts up to at least $\sim 17.5
h_{50}^{-1}$ Mpc. The total luminosity in the 0.1-2.4 keV energy band is $\sim
16\times10^{44} h_{50}^{-2}$ erg s$^{-1}$.
