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charset="Windows-1252" Content-Transfer-Encoding: quoted-printable I had the privilege to have regular and often close contacts with Jean B=E9= nabou during more than 50 years ; I learned much from him. It is a matter of fact that Jean did like very much lecturing, and he was d= oing that marvelously well =85 but he was quite reluctant to =AB freeze =BB= a topic by writing it down. Early in the seventies, Jean gave several series of lectures at the Univers= ity of Louvain: on monads (called =93triples=94 in those days), multiplicat= ive categories, distributors and toposes. Notes on these lectures were writ= ten down by some of the auditors and Jean accepted to have them published i= n the preprints of the mathematics department. I downloaded a copy of these= old texts via =93WeTransfer=94 and they will remain available during one w= eek via the link https://we.tl/t-AwGwZkYcCq. Some years later, Jean also gave a series of lectures on fibred categories = in Louvain-la-Neuve. As already mentioned by others, Jean-Roger Roisin wrot= e from these lectures a beautiful set of notes. These notes were never publ= ished because Jean, through the years, kept considering that he could still= improve and complete his results before their publication. When I wrote the three volumes of my =93Handbook of categorical algebra=94,= I wanted of course to include a chapter on fibred or indexed categories: I= chose fibred categories (Chapter 8 of Volume 2). Before sending the chapte= r to the editor, I sent a copy of it to Jean, asking for his comments, but = making clear that I was not at all asking permission to publish this chapte= r, and that I would be the only one (with the referees) to decide of the fi= nal form of the text and take the responsibility of it. I definitely wanted= to avoid a new endless story, in the vein of what was happening to the Jea= n-Roger notes. I remember the upset answer that Jean gave me; he was focusing on three poi= nts. 1. I do not appreciate that you include a chapter containing many result= s of mine before I myself publish them. 2. At least, it is a relief to notice that your text reflects faithfully= my own views on this topic. 3. Thank you for putting emphasize on the notion of decidability, whose = importance does not seem to have been recognized by the categorical communi= ty. I am thus confident that this chapter reflects quite faithfully several ide= as of Jean, at the period where my book was written. Francis Francis Borceux 6 rue Fran=E7ois 1490 Court-Saint-Etienne Belgique +32478390328 (portable) +3210614205 (fixe) francis.borceux@uclouvain.be You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message. View group files | Leave group | = Learn more about Microsoft 365 Groups --_000_AM9PR03MB7348CE14BB34CD557B389BCC9B762AM9PR03MB7348eurp_ Content-Type: text/html; charset=WINDOWS-1252 Content-Transfer-Encoding: quoted-printable

 

I= had the privilege to have regular and often close contacts with Jean B=E9n= abou during more than 50 years ; I learned much from him.

<= o:p> 

I= t is a matter of fact that Jean did like very much lecturing, and he was do= ing that marvelously well =85 but he was quite reluctant to =AB freeze=  =BB a topic by writing it down.

<= o:p> 

E= arly in the seventies, Jean gave several series of lectures at the Universi= ty of Louvain: on monads (called =93triples=94 in those days), multiplicati= ve categories, distributors and toposes. Notes on these lectures were written down by some of the auditors and Jean accep= ted to have them published in the preprints of the mathematics department. = I downloaded a copy of these old texts via =93WeTransfer=94 and they will r= emain available during one week via the link https://we.tl/t-AwGwZkYcCq.

<= o:p> 

S= ome years later, Jean also gave a series of lectures on fibred categories i= n Louvain-la-Neuve. As already mentioned by others, Jean-Roger Roisin wrote= from these lectures a beautiful set of notes. These notes were never published because Jean, through the years, k= ept considering that he could still improve and complete his results before= their publication.

<= o:p> 

When I wrote the three volumes of my =93Handboo= k of categorical algebra=94, I wanted of course to include a chapter on fib= red or indexed categories: I chose fibred categories (Chapter 8 of Volume 2). Before sending the chapter to the editor, I sent = a copy of it to Jean, asking for his comments, but making clear that I was = not at all asking permission to publish this chapter, and that I would be t= he only one (with the referees) to decide of the final form of the text and take the responsibility of it.= I definitely wanted to avoid a new endless story, in the vein of what was = happening to the Jean-Roger notes.

<= o:p> 

I= remember the upset answer that Jean gave me; he was focusing on three poin= ts.

  1. I do not appreciate that you include a ch= apter containing many results of mine before I myself publish them.
  2. At least, it is a relief t= o notice that your text reflects faithfully my own views on this topic.
  3. Thank you for putting = emphasize on the notion of decidability, whose importance does not seem to = have been recognized by the categorical community.

    4. I am= thus confident that this chapter reflects quite faithfully several ideas o= f Jean, at the period where my book was written.

     

    Fran= cis

     

    Francis Borceux

    6 rue Fran=E7ois

    1490 Court-Saint-Etienne

    Belgique

    +32478390328 (portable)

    +3210614205 (fixe)

    francis.borceux@uclouvain.be

     

 
 
You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message.
 
View group files   |   Leav= e group   |&n= bsp;  Learn more about Microsoft 365 Groups
 
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