Question 6.2.2.1.3 (00NU): Explicit Description of Left Kan Lifts Along Functions

Preferences

Font:

PDF Style:

Here's a breakdown of the differences between each PDF style:

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

*To be replaced with Linus Romer's Elemaints when it is released.

Table of Contents
Part 2: Relations
Chapter 6: Constructions With Relations
Section 6.2: Kan Extensions and Kan Lifts in the $2$-Category of Relations
Subsection 6.2.2: Left Kan Lifts in $\textbf{Rel}$
Question 6.2.2.1.3: Explicit Description of Left Kan Lifts Along Functions (cite)

Question 6.2.2.1.3 ▶ Explicit Description of Left Kan Lifts Along Functions

As shown in Item 2 of Proposition 6.2.2.1.1, the left Kan lift

\[ \text{Lift}_{R}\colon \mathbf{Rel}\webleft (X,B\webright )\to \mathbf{Rel}\webleft (X,A\webright ) \]

along a relation of the form $R=\text{Gr}\webleft (f\webright )$ exists. Is there a explicit description of it, similarly to the explicit description of right Kan lifts given in Proposition 6.2.4.1.1?

This question also appears as [MO 461592].

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: