A heavily revised version of my paper "Beyond the Chu-construction" is now available from my home page: http://www.iti.cs.tu-bs.de/~koslowj/RESEARCH/ It will eventually be published in Applied Categorical Structures. I have not attempted to attribute the term "dualizing object" to anyone in particular. The open problem of an earlier version, as to whether Cauchy-complete bicategories of interpolads inherit local *-autonomy from their base, has been answered affirmatively. Here is the abstract: Starting from symmetric monoidal closed (= autonomous) categories, Po-Hsiang Chu showed how to construct new *-autonomous categories, i.e., autonomous categories that are self-dual because of a dualizing object. Recently, Michael Barr extended this to the non-symmetric, but closed, case, utilizing monads and modules between them. Since these notions are well-understood for bicategories, we introduce a notion of local *-autonomy for these that implies closedness and, moreover, is inherited when forming bicategories of monads and of interpolads. Since the initial step of Barr's construction also carries over to the bicategorical setting, we recover his main result as an easy corollary. Furthermore, the Chu-construction at this level may be viewed as a procedure for turning the endo-1-cells of a closed bicategory into the objects of a new closed bicategory, and hence conceptually is similar to constructing bicategories of monads and of interpolads. Best regards, -- J"urgen -- J"urgen Koslowski % If I don't see you no more in this world ITI % I meet you in the next world TU Braunschweig % and don't be late! koslowj@iti.cs.tu-bs.de % Jimi Hendrix (Voodoo Child)