The existential quantifier of logic (the propositional calculus) and the image operation along a continuous function ƒ from topology turn out to be essentially the same operation: from a categorical point of view they are both adjoint functors.

Steve Awodey, Category Theory (2010)

(I rearranged his words liberally.)

Advertisements

Tags: , , , , , , , ,

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s


%d bloggers like this: