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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMay 19th 2010

added a Properties-section to pullback

• CommentRowNumber2.
• CommentAuthorJohn Baez
• CommentTimeJan 27th 2018
• (edited Jan 27th 2018)

I made some minor improvements to the Properties section of pullback, making it match the similar section in pushout insofar as it can. (It’s a bit tiring to have to look at both these pages to get all the basic properties, so I fixed that, but for properties that hold both for pullbacks and dually for pushouts I’m happy to have all the proofs at pullback - that’s how it works now.)

1. Fixed a tiny typo ‘hold -> holds’.

anqurvanillapy

2. Several pages on inductive types/W-types link to this page and use the term “pullback functor” with notation $f^*$, yet if you Ctrl-F on this page, you can’t find this term. This edit at least shortly mentions it and links to base change.

Stipulation: redirect pullback functor to base change

WorldSEnder

• CommentRowNumber5.
• CommentAuthorDmitri Pavlov
• CommentTimeApr 6th 2020

Added cartesian redirects.

3. Put some commutative diagrams in tikz-cd

Anonymous

4. Put some commutative diagrams in tikz-cd

Anonymous

5. Moved some commutative diagrams to tikz-cd

Anonymous

6. Thank you very much, Mr. or Mrs. Anonymous!

7. Puts many diagrams in tikz-cd

Anonymous

• CommentRowNumber11.
• CommentAuthorAlec Rhea
• CommentTimeNov 4th 2020

Added a spelled out definition of categorical pullbacks, not relying on an understanding of limits.

• CommentRowNumber12.
• CommentAuthorDmitri Pavlov
• CommentTimeNov 20th 2020

Added a reference to Joyal’s CatLab.

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