Some remarks on \alpha-pseudocompactness
by
Salvador Garcia-Ferreira
Instituto de Matematicas, National University of Mexico

All spaces are Tychonoff. In 1962, J. F. Kennison defined a space X to be \alpha-pseudocompact if f[X] is a compact subset of R^\alpha for every continuous function f: X --> R^\alpha, for a cardinal number \alpha. Notice that \omega-pseudocompactness is precisely pseudocompactness. We present some new examples in this topic and establish the relationship between \alpha-pseudocompactness and p-pseudocompactness, where p is an uniform ultrafilter on \alpha.

Date received: June 1, 1999

Copyright © 1999 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 # cacl-33.