Is a judicial order that instructs a lower court to send up the record in a case so that the decision can be reviewed by a higher court mandamus certiorari habeas corpus remand?

The correct term for a judicial order that instructs a lower court to send up the record in a case for review by a higher court is "certiorari." This writ is typically used by appellate courts to obtain the records of a lower court's proceedings. Mandamus refers to an order compelling a lower court or government official to perform a specific duty, while habeas corpus pertains to the right to challenge unlawful detention. Remand refers to sending a case back to a lower court for further action.