Item 1 (014Z) — The Clowder Project

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.

Characterisations. The following conditions are equivalent:
1. The functor $F$ is a monomorphism of categories.
2. The functor $F$ is injective on objects and morphisms, i.e. $F$ is injective on objects and the map
  \[ F\colon \textup{Mor}\webleft (\mathcal{C}\webright )\to \textup{Mor}\webleft (\mathcal{D}\webright ) \]
  
  is injective.

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

You can also use the contact form below: