Quantum Creation of an Open Inflationary Universe

light years away from each other, so the universe would be practically structureless. We argue that the Hartle-Hawking wave function does not describe the probability of creation of the universe. If one uses the tunneling wave function for the description of creation of the universe, then in most inflationary models the universe should have Ω = 1, which agrees with the standard expectation that inflation makes the universe flat. The same result can be obtained in the theory of a selfreproducing inflationary universe, independently of the issue of initial conditions. However, there exist some models where Ω may take any value, from Ω > 1 to Ω 1.