It is given a topological pinching for the injectivity radius of a compact embedded surface either in the sphere or in the hyperbolic space
Long-standing discrepancies within determinations of the Ginzburg-Landau parameter $kappa$ from supercritical field measurements on superconducting microspheres are reexamined. The discrepancy in tin is shown to result from differing methods of analy
ses, whereas the discrepancy in indium is a consequence of significantly differing experimental results. The reanalyses however confirms the lower $kappa$ determinations to within experimental uncertainties.
