Polyadic, Centered, and Scadic Spaces
by
Murray G. Bell
University of Manitoba

Both centered and scadic spaces are generalizations of polyadic spaces (Hausdorff continuous images of Alexandroff cubes \alpha\kappa^\lambda). We overview these 3 classes hilighting major problems and results. Some new theorems mentioned are: \chi = w for scadic spaces (this completes a scadic theorem of Chertanov), \pi\chi = t for centered spaces (this generalizes a polyadic theorem of Gerlits), and centered is not zero-set hereditary (this is relevant to work of Plebanek and answers a question of Bell's).

Date received: February 19, 1997

Copyright © 1997 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 # caam-12.