Some Isomorphisms Between Functor Categories

Andrzej Trybulec

Warsaw University, Bialystok

Summary.

We define some well known isomorphisms between functor categories: between $A^{\mathop{\dot\circlearrowright}(o,m)}$ and $A$, between $C^{\mizleftcart A,B\mizrightcart}$ and ${(C^B)}^A$, and between ${\mizleftcart B,C\mizrightcart}^A$ and $\mizleftcart B^A,C^A\mizrightcart$. Compare [9] and [8]. Unfortunately in this paper "functor" is used in two different meanings, as a lingual function and as a functor between categories.

MML Identifier: ISOCAT_2

Contents (PDF format)

1. Preliminaries
2. The isomorphism between $A^{\mathop{\dot\circlearrowright}(o,m)}$ and $A$
3. The isomorphism between $C^{\mizleftcart A,B\mizrightcart}$ and ${(C^B)}^A$
4. The isomorphism between ${\mizleftcart B,C\mizrightcart}^A$ and $\mizleftcart B^A,C^A\mizrightcart$

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