O'Reilly logo

Conceptual Mathematics, Second Edition by Stephen H. Schanuel, F. William Lawvere

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

SESSION 27

Examples of universal constructions

1.  Universal constructions

We have seen that there are two kinds of universal constructions: those similar to multiplication and terminal object – the technical term is ‘limits’ – and those similar to sum and initial object: ‘colimits’. Let’s summarize in a table all the universal constructions that we have studied.

Let’s review what a terminal object is. To say that T is a terminal object in the category means …. What?

CHAD: That there is only one map.

One map? From where to where?

CHAD: From the ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required