Definition 1.2.1.1.1 (0007): $\webleft (-2\webright )$-Categories

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 1: Sets
Chapter 1: Sets
Section 1.2: The Enrichment of Sets in Classical Truth Values
Subsection 1.2.1: $\webleft (-2\webright )$-Categories
Definition 1.2.1.1.1: $\webleft (-2\webright )$-Categories (cite)

Statistics Cite

Definition 1.2.1.1.1 ▶ $\webleft (-2\webright )$-Categories

A $\webleft (-2\webright )$-category is the “necessarily true” truth value.¹^,²^,³

¹Thus, there is only one $\webleft (-2\webright )$-category.

²A $\webleft (-n\webright )$-category for $n=3,4,\ldots $ is also the “necessarily true” truth value, coinciding with a $\webleft (-2\webright )$-category.

³For motivation, see p. 13 of [Baez–Shulman, Lectures on $n$-Categories and Cohomology].

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

You can also use the contact form below: