"Does segregation of children in public schools solely on the basis of race, even though the physical facilities . . . may be equal, deprive children of the minority group of equal educational opportunities? We believe that it does.To separate them from others of similar age and qualifications solely on the basis of their race generates a feeling of inferiority as to their status and community that may affect their hearts and minds in a way unlikely to ever be undone. . . . Whatever may have been the extent of psychological knowledge at the time of Plessy v. Ferguson, this finding is amply supported by modern authority. Any language in Plessy v. Ferguson contrary to this finding is rejected.We conclude that in the field of public education, the doctrine of separate but equal has no place. Separate educational facilities are inherently unequal."
How did the decision affect the relationship between the federal government and state and local governments?