  Solid 4He may acquire superfluid characteristics due to the frustration of
the solid phase at grain boundaries. Here, we show that an analogous effect
occurs in systems with competition among charge-density-waves (CDWs) and
superconductivity in the presence of disorder, as cuprate or dichalcogenide
superconductors. The CDWs breaks apart in domains with topologically protected
filamentary superconductivity (FSC) at the interfaces. Transport experiments
carried out in underdoped cuprates with the magnetic field acting as a control
parameter are shown to be in excellent agreement with the theoretical
expectation. At high temperature and low fields we find a transition from CDWs
to fluctuating superconductivity, weakly affected by disorder, while at high
field and low temperature the protected filamentary superconducting phase
appears in close analogy with "glassy" supersolid phenomena in 4He.
