Dexter v. Hall was a United States Supreme Court case that dealt with the issue of whether a state court had the authority to issue a writ of habeas corpus to a prisoner held in a federal prison. The case arose when a prisoner, Dexter, was held in a federal prison in Massachusetts. Dexter sought a writ of habeas corpus from the state court, claiming that he was being held in violation of the Constitution. The state court granted the writ, and the federal government appealed to the Supreme Court. The Supreme Court held that the state court did not have the authority to issue a writ of habeas corpus to a prisoner held in a federal prison. The Court reasoned that the writ of habeas corpus was a federal prerogative, and that the state court did not have the authority to interfere with the federal government's power to imprison individuals. The Court also noted that the writ of habeas corpus was a fundamental right, and that the state court should not be allowed to interfere with the federal government's power to protect the rights of individuals. In conclusion, the Supreme Court held that the state court did not have the authority to issue a writ of habeas corpus to a prisoner held in a federal prison. The Court reasoned that the writ of habeas corpus was a federal prerogative, and that the state court did not have the authority to interfere with the federal government's power to imprison individuals. The Court also noted that the writ of habeas corpus was a fundamental right, and that the state court should not be allowed to interfere with the federal government's power to protect the rights of individuals.

In the case of Dexter v. Hall, the Supreme Court was asked to decide whether a state court had jurisdiction over an action brought by a citizen of one state against another in which it was alleged that damages were caused by negligence on behalf of the defendant while he was acting as an agent for his principal. The majority opinion held that such actions could not be maintained in a state court and must instead be brought before a federal tribunal. Justice Field dissented from this decision, arguing that states should have jurisdiction over these types of cases since they involve matters within their own borders and are more properly decided under local law than federal law. He further argued that allowing citizens to bring suit against each other in their home states would promote justice and fairness among all parties involved, regardless of where they reside or what type of dispute is at hand.