Some articles on initial topologies, topologies:
... property are well-behaved with respect to initial topologies ... Specifically, complete regularity is preserved by taking arbitrary initial topologies and the Tychonoff property is preserved by taking point-separating initial topologies ... Like all separation axioms, completely regularity is not preserved by taking final topologies ...
Famous quotes containing the word initial:
“No punishment has ever possessed enough power of deterrence to prevent the commission of crimes. On the contrary, whatever the punishment, once a specific crime has appeared for the first time, its reappearance is more likely than its initial emergence could ever have been.”
—Hannah Arendt (19061975)