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]

Contents (PDF format)

  1. Categories with Triple-like Morphisms
  2. Categorial Categories
  3. Slice Categories
  4. 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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