Contrary to the diffusionist theory, it appears that there was simultaneously a structural evolution towards the pointed arch, for the purpose of vaulting spaces of irregular plan, or to bring transverse vaults to the same height as diagonal vaults. This latter occurs at Durham Cathedral in the nave aisles in 1093. Pointed arches also occur extensively in Romanesque decorative blind arcading, where semi-circular arches overlap each other in a simple decorative pattern, and the points are accidental to the design.
The use of the pointed arch for bringing transverse vaults to the same height diagonal ones, is in disagreement with what theory?
the diffusionist theory

The predominant school of thought in the 13th century was the Thomistic reconciliation of the teachings of Aristotle with Christian theology. The Condemnation of 1277, enacted at the University of Paris, placed restrictions on ideas that could be interpreted as heretical; restrictions that had implication for Aristotelian thought. An alternative was presented by William of Ockham, who insisted that the world of reason and the world of faith had to be kept apart. Ockham introduced the principle of parsimony – or Occam's razor – whereby a simple theory is preferred to a more complex one, and speculation on unobservable phenomena is avoided.
On what types of ideas did the Condemnation of 1277 place restrictions?
heretical

In their attempt to ensure white supremacy decades after emancipation, in the early 20th century, most southern states created laws based on the one-drop rule, defining as black, persons with any known African ancestry. This was a stricter interpretation than what had prevailed in the 19th century; it ignored the many mixed families in the state and went against commonly accepted social rules of judging a person by appearance and association. Some courts called it "the traceable amount rule." Anthropologists called it an example of a hypodescent rule, meaning that racially mixed persons were assigned the status of the socially subordinate group.
What is the hypodescent rule?
racially mixed persons were assigned the status of the socially subordinate group.