Universally Baire Set
In the mathematical field of descriptive set theory, a set of real numbers (or more generally a subset of the Baire space or Cantor space) is called universally Baire if it has a certain strong regularity property. Universally Baire sets play an important role in Ω-logic, a very strong logical system invented by W. Hugh Woodin and the centerpiece of his argument against the continuum hypothesis of Georg Cantor.
Read more about Universally Baire Set: Definition
Famous quotes containing the words universally and/or set:
“Of all illusions in the world, the most universally received is the concern for reputation and glory, which we espouse even to the point of giving up riches, rest, life, and health, which are effectual and substantial goods, to follow that vain phantom and mere sound that has neither body nor substance.”
—Michel de Montaigne (1533–1592)
“The people always have some champion whom they set over them and nurse into greatness.... This and no other is the root from which a tyrant springs; when he first appears he is a protector.”
—Plato (c. 427–347 B.C.)