Re: preprint

["Jean Bénabou" <jean.benabou@wanadoo.fr>]

Dear Marco,

Many thanks for your explanations, and of course for giving me the possibility to study your book, which I shall do very soon.

I have a notion which I hesitated to call directed category for fear of a conflict in using the word directed. Your non technical use of this word encourage me to use it, but I shall first read your book before I make up my mind.

Best regards, Jean


Le 26 nov. 2013 à 11:11, Marco Grandis a écrit :

> Dear Jean,
> 
> Presheaves on all finite ordinals are called augmented simplicial sets.
> 
> As to 'directed space' I use now this term in a non-technical sense,
> as referring to any topological structure suitable for directed
> algebraic topology, like:
> 
> - preordered topological space,
> -  d-space, i.e. space with distinguished paths,
> -  c-space, i.e. space with distinguished cubes,
> - etc.
> 
> See my book on 'Directed Algebraic Topology'. Thanks to Cambridge Un.
> Press, it can be freely (and legally) downloaded from:
> 
>    http://www.dima.unige.it/~grandis/BkDAT_page.html
> 
> 
> (When I first used the term 'directed space', it was equivalent to d-
> space; later I thought it was better to keep it for a more general
> meaning.)
> 
> Best wishes   Marco


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