  Superconductivity in layered cuprates is induced by doping holes into a
parent antiferromagnetic insulator. It is now recognized that another common
emergent order involves charge stripes, and our understanding of the
relationship between charge stripes and superconductivity has been evolving.
Here we review studies of 214 cuprate families obtained by doping
La$_2$CuO$_4$. Charge-stripe order tends to compete with bulk
superconductivity; nevertheless, there is plentiful evidence that it coexists
with two-dimensional superconductivity. This has been interpreted in terms of
pair-density-wave superconductivity, and the perspective has shifted from
competing to intertwined orders. In fact, a new picture of superconductivity
based on pairing within charge stripes has been proposed, as we discuss.
