Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Formalize closure properties of left orthogonal shapes and right orthogonal maps #81

Open
15 of 18 tasks
TashiWalde opened this issue Sep 29, 2023 · 1 comment
Open
15 of 18 tasks
Assignees

Comments

@TashiWalde
Copy link
Collaborator

TashiWalde commented Sep 29, 2023

The notion of orthogonality from BW23 is formalized in #76.

It satisfies many desirable closure properties:

  • In the left argument:
    • isomorphism of shape-pairs
    • composition
    • left cancellation
    • right cancellation with retraction
    • pushout product
    • crossing with a shape
    • exact pushout
    • retracts
  • in the right argument:
    • equivalence of maps
    • composition
    • right cancellation
    • left cancellation with section
    • exponentiation
    • pullback
    • retracts
  • and many more
@TashiWalde TashiWalde self-assigned this Sep 29, 2023
@jonweinb
Copy link
Collaborator

Great, thanks a lot @TashiWalde for taking the initiative on this!

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
None yet
Projects
None yet
Development

No branches or pull requests

2 participants