Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994
Association of Mizar Users
Categorial Categories and Slice Categories
-
Grzegorz Bancerek
-
Institute of Mathematics, Polish Academy of Sciences
Summary.
-
By categorial categories we mean categories with categories as objects and
morphisms of the form $(C_1, C_2, F)$, where $C_1$ and $C_2$ are categories
and $F$ is a functor from $C_1$ into $C_2$.
MML Identifier:
CAT_5
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[6]
[13]
[11]
[9]
[14]
[2]
[3]
[7]
[12]
[5]
[4]
[8]
[1]
-
Categories with Triple-like Morphisms
-
Categorial Categories
-
Slice Categories
-
Functors Between Slice Categories
Bibliography
- [1]
Grzegorz Bancerek and Agata Darmochwal.
Comma category.
Journal of Formalized Mathematics,
4, 1992.
- [2]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Czeslaw Bylinski.
Introduction to categories and functors.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Czeslaw Bylinski.
Partial functions.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [7]
Czeslaw Bylinski.
The modification of a function by a function and the iteration of the composition of a function.
Journal of Formalized Mathematics,
2, 1990.
- [8]
Czeslaw Bylinski.
Subcategories and products of categories.
Journal of Formalized Mathematics,
2, 1990.
- [9]
Andrzej Trybulec.
Domains and their Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
- [10]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [11]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
- [12]
Andrzej Trybulec.
Function domains and Fr\aenkel operator.
Journal of Formalized Mathematics,
2, 1990.
- [13]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [14]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received October 24, 1994
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