A connected limit is a Limit over a Connected Category.

Examples

• Pullbacks
• Wide Pullbacks
• Equalisers

Nonexamples

• Binary Cartesian Products and Indexed Cartesian Products are not connected limits.

Properties

• If a category has all Pullbacks and Equalisers, then it has all finite connected limits.
• Likewise, if a category has all $\kappa$-small Wide Pullbacks and Equalisers, then it has all $\kappa$-small connected limits.