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

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SESSION 11

Ascending to categories of richer structures

1. A category of richer structures: Endomaps of sets

A simple example of a ‘type of structure’ T, that is used to construct a category richer than image, is the idea of a single endomap, T =image. A structure of that type in image is just a given set with a given endomap, and the resulting category of sets-with-an-endomap is denoted accordingly by . If you remember that an endomap of a set has a special type ...

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