During February, I gave a series of talks based on a paper published
ten years ago in TAC, called "Topological *-autonomous categories".
While preparing the lectures I came on a number of serious defects in
that paper. One curious fact is that I mentioned as motivation a
question from André Joyal whether the results for real and
complex topological vector spaces were also valid for vector spaces
over the p-adic completions of the rationals. But I never addressed
that question in the paper, let alone solved it. I have now prepared
a paper, "Topological *-autonomous categories, revisited" which fixes
all the deficiencies and also answers Joyal's question (it is valid
for all locally compact fields, which includes those *p*-adic
completions as well as their finite extensions. Similar results hold
for the *t*-adic completions of the Laurent series
rings **Z**_{p{t}} .
The revised paper may be found here