|MURRAY BELL, Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada|
|Cardinal functions of centered spaces|
For a collection of sets S, give is centered the compact Hausdorff topology that it inherits as a subspace of 2S. The spaces cen(S) are exactly the Adequate Compact spaces of Talagrand. They have served topologists well as a rich source of examples. This talk is concerned with spaces which are by definition those Hausdorff spaces that are continuous images of some cen(S). This is a good generalization of the dyadic spaces. Our focus will be on the relationships between the 9 popular cardinal functions of w, , t, , d, c, , and for this class of spaces.