Injective T-Boolean algebras and Projective Boolean Flows
by
Richard N. Ball
University of Denver
Coauthors: James N. Hagler

A celebrated theorem of Gleason identifies the projective objects in the category of compact Hausdorff spaces with continuous maps as being precisely the extremally disconnected ones. If one adds actions to the picture, i.e., if one passes to the category of compact flows, the situation changes. The existence of projectives is still assured by general principles, but their identification is much harder and more interesting. We perform exactly this identification in the full subcategory of Boolean flows. (In this abstract, space will mean Hausdorff topological space, Boolean space will mean compact zero-dimensional space, and algebra will mean Boolean algebra.)

Date received: July 8, 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 # caaj-40.