Topological *-autonomous categories,revisited

Topological *-autonomous categories,revisited

[Michael Barr]

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 is a question 
from Andre 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 paper is on my web site.


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Re: Topological *-autonomous categories, revisited

[Marco Grandis]

On 11 Sep 2016, at 17:07, Michael Barr wrote:
> Omissis    ... but should be published elsewhere.  Where for
> heaven's sake?  Certainly not in one of the hundreds of vanity
> journals whose solicitations fill my mailbox daily.

I wanted to reply as below (to that part of the message ); I am sorry
I forgot.
There is a recent journal in Iran:

     CGASA,  Categories and General Algebraic Structures with
Applications
     www.cgasa.ir

 	They are now preparing a special volume on the occasion of  B.
Banaschewski's 90th birthday, as announced on this list on 19 April
2016 (19:36:59 GMT+02:00); the deadline has just expired...

As far as I know the journal, online and printed, is free.
I think it is up to us to send good contributions and make it live.

Regards, Marco




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Topological *-autonomous categories, revisited

[Michael Barr]

In 2006 I published a paper called Topological *-autonomous categories 
(TAC, 16, 700-708).  Looking it over early this year I realized it was 
badly flawed with gaps, incorrect proofs, and omissions (of things claimed 
in the intro).  I have rewritten it, fixing all the flaws (I hope at any 
rate).  Somewhat reluctantly, I submitted it to TAC, but the referee felt, 
doubtless correctly, that this revision was not really up to the quality 
of the leading journal in CT, but should be published elsewhere.  Where 
for heaven's sake?  Certainly not in one of the hundreds of vanity 
journals whose solicitations fill my mailbox daily.

Anyway, it is the top paper that appears on the web site that contains 
virtually all the papers I have ever written as well as a few 
miscellaneous things (such as the Tohoku translation): 
http://www.math.mcgill.ca/barr/papers/.

Michael


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