Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] HoTT Wiki
@ 2018-10-10 13:55 Ali Caglayan
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From: Ali Caglayan @ 2018-10-10 13:55 UTC (permalink / raw)
  To: Homotopy Type Theory

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Over the last few months I have been adding to the HoTT wiki 
<https://ncatlab.org/homotopytypetheory/show/HomePage>, just contributing 
known facts from the HoTT book and reorganising a few pages.

There are a few pages that you can use to find the others:

 - Synthetic homotopy theory 
<https://ncatlab.org/homotopytypetheory/show/Synthetic+homotopy+theory> this 
is supposed to detail known things about synthetic homotopy theory in HoTT. 
There are a few references at the bottom consisting of PhD thesis' which I 
mean to go through and add to the wiki. Sorry about the mess.

 - Category theory (in HoTT) 
<https://ncatlab.org/homotopytypetheory/show/Category+theory> this is 
following the HoTT book essentially. But this shows the potential the Wiki 
has for being "the ultimate HoTT book" given that we don't have to publish 
anything, there is not limit to what we can add.

 - Type theory <https://ncatlab.org/homotopytypetheory/show/type+theory> this 
is supposed to detail type theoretic things, i.e. the first few chapters in 
the HoTT book. It is in a sorry state at the moment.

There are only 100 pages or so, you can find them through the All Pages 
link at the top, furthermore, you can organise pages by categories (still 

Now if you are reading this email you are probably interested in HoTT in 
one form or another. So please contribute! You can get a gist for the 
general style from the articles I have linked. Even the smallest of 
contributions are welcome. 

You can post on the nforum or email me if there are any substantial issues 
with what I have written so far.

Ali Caglayan

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Discussion of Homotopy Type Theory and Univalent Foundations

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