Skip to content

Commit 3814e3c

Browse files
committed
Merge branch 'main' of github.com:groupoid/anders
2 parents cf99040 + c5de47a commit 3814e3c

File tree

1 file changed

+2
-2
lines changed

1 file changed

+2
-2
lines changed

intro/TRIPLES.md

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -22,12 +22,12 @@ while the Σ type models dependent pairs. Their interpretations extend into vari
2222
branches of mathematics, each highlighting a distinct perspective on their structural role.
2323
Below, we explore four such perspectives: categorical, set-theoretic, homotopical, and groupoidal.
2424

25-
## 1. Categorical Perspective: Π and Σ as Adjunctions (Kock-Wright Interpretation)
25+
## 1. Categorical Perspective: Π and Σ as Adjunctions (Kock-Wraith Interpretation)
2626

2727
From a categorical viewpoint, Π and Σ types arise naturally through adjunctions.
2828
The key idea is that dependent function types correspond to right adjoints,
2929
while dependent sum types correspond to left adjoints. This perspective,
30-
pioneered by Kock-Wright, provides a logical foundation for interpreting
30+
pioneered by Kock-Wraith , provides a logical foundation for interpreting
3131
these types in categorical models of type theory.
3232

3333
* The adjunctions can be explicitly formulated as triples (Σf ⊢ f* ⊢ Πf):

0 commit comments

Comments
 (0)