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* Quasi-categories
@ 2005-11-26 17:42 Andree Ehresmann
  2005-11-28  7:06 ` Quasi-categories Philippe Gaucher
  0 siblings, 1 reply; 2+ messages in thread
From: Andree Ehresmann @ 2005-11-26 17:42 UTC (permalink / raw)
  To: TAC



In answer to Carl Futia

Charles Ehresmann has called such "gadgets" quasi-categories in
"Introduction to the theory of structured categories" (Kansas 1966) reprinted in
"Charles Ehresmann: Oeuvres completes et commentees" Part III-2.

Sincerely
Andree C. Ehresmann







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* Re: Quasi-categories
  2005-11-26 17:42 Quasi-categories Andree Ehresmann
@ 2005-11-28  7:06 ` Philippe Gaucher
  0 siblings, 0 replies; 2+ messages in thread
From: Philippe Gaucher @ 2005-11-28  7:06 UTC (permalink / raw)
  To: categories

Le samedi 26 Novembre 2005 18:42, vous avez écrit :
> In answer to Carl Futia
>
> Charles Ehresmann has called such "gadgets" quasi-categories in
> "Introduction to the theory of structured categories" (Kansas 1966)
> reprinted in "Charles Ehresmann: Oeuvres completes et commentees" Part
> III-2.
>
> Sincerely
> Andree C. Ehresmann

Dear All,

One told me very recently that Joyal is writting a book about 
"quasi-categories". But with a different meaning. A quasi-category is a 
simplicial set satisfying a condition a little bit weaker than the Kan 
condition. Morally speaking, two composable arrows have several possible 
compositions, up to homotopy. I dont know whether Joyal reads this 
mailing-list ? 

pg.





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