Category Ens

Czeslaw Bylinski

Warsaw University, Bialystok

Summary.

If $V$ is any non-empty set of sets, we define $\hbox{\bf Ens}_V$ to be the category with the objects of all sets $X \in V$, morphisms of all mappings from $X$ into $Y$, with the usual composition of mappings. By a mapping we mean a triple $\langle X,Y,f \rangle$ where $f$ is a function from $X$ into $Y$. The notations and concepts included corresponds to that presented in [12], [10]. We also introduce representable functors to illustrate properties of the category {\bf Ens}.

MML Identifier: ENS_1

Contents (PDF format)

1. Mappings
2. Category Ens
3. Representable Functors

Acknowledgments

Bibliography

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