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

Generalise results about wedge for pointed categories #1888

Open
Alizter opened this issue Mar 8, 2024 · 0 comments
Open

Generalise results about wedge for pointed categories #1888

Alizter opened this issue Mar 8, 2024 · 0 comments

Comments

@Alizter
Copy link
Collaborator

Alizter commented Mar 8, 2024

We have various results about wedges such as the inclusion of a wedge into products, projections etc. that can be generalised for any pointed category with coproducts. Examples include:

  • pType
  • AbGroup
  • Group

AbGroup is quite interesting in this case as for finite index sets, products and coproducts coincide but this is no longer the case for a general indexing type with decidable equality. When there is no decidable equality, it may not even be true that there is a map from coproducts to products.

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

No branches or pull requests

1 participant