Which preposition to use with ubiquity

of Occurrences 9%

Bugeaud's main object was to establish permanent centres of action in the very heart of the Arab confederation of tribes, and, by rapidly consecutive expeditions radiating from these centres, to give his troops the ubiquity of Abd-el-Kader's forces.

as Occurrences 1%

And, by the way, the Pope would be a very improper person to murder: for he has such a virtual ubiquity as the father of Christendom, and, like the cuckoo, is so often heard but never seen, that I suspect most people regard him also as an abstract idea.

by Occurrences 1%

Now that event did not happen until after the transfiguration, and we infringe upon our Saviour's ubiquity by supposing it to occur (contrary to the sacred story) at the same time.

in Occurrences 1%

The citizen will be invested with, and reduce to daily and familiar use, an approach to the HIGH ATTRIBUTE OP UBIQUITY in a degree that the human mind, until recently, has hardly dared to contemplate seriously as belonging to human agency, from an instinctive feeling of religious reverence and reserve on a power of such awful grandeur.

Which preposition to use with  ubiquity