A universal continuum of weight \aleph
by
K. P. Hart
Delft University of Technology

It is shown that every continuum of weight ℵ₁ (or less) is a continuous image of the Cech-Stone remainder [0, ∞)^* of the half-line. It follows that under CH the space [0, ∞)^* is a universal continuum of weight ℵ( = c). We compare the proof to Parivichenko's proof that every compact space of weight ℵ₁ (or less) is a continuous image of w^*.

We complement the result by showing that under MA every continuum of weight less than c is a continuous image of [0, ∞)^* and that in the Cohen model the long segment of length w₂ is not a continuous image of [0, ∞)^*.

Date received: January 26, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-10.