Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998 Association of Mizar Users

The Composition of Functors and Transformations in Alternative Categories


Artur Kornilowicz
University of Bialystok

MML Identifier: FUNCTOR3

The terminology and notation used in this paper have been introduced in the following articles [10] [5] [16] [2] [4] [3] [1] [9] [11] [12] [6] [13] [14] [7] [15] [8]

Contents (PDF format)

  1. Preliminaries
  2. The Composition of Functors with Transformations
  3. The Composition of Transformations
  4. Natural Equivalences

Bibliography

[1] Czeslaw Bylinski. Binary operations. Journal of Formalized Mathematics, 1, 1989.
[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. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[6] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[7] Beata Madras-Kobus. Basic properties of objects and morphisms. Journal of Formalized Mathematics, 9, 1997.
[8] Robert Nieszczerzewski. Category of functors between alternative categories. Journal of Formalized Mathematics, 9, 1997.
[9] Andrzej Trybulec. Binary operations applied to functions. Journal of Formalized Mathematics, 1, 1989.
[10] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[11] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[12] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[13] Andrzej Trybulec. Categories without uniqueness of \rm cod and \rm dom. Journal of Formalized Mathematics, 7, 1995.
[14] Andrzej Trybulec. Examples of category structures. Journal of Formalized Mathematics, 8, 1996.
[15] Andrzej Trybulec. Functors for alternative categories. Journal of Formalized Mathematics, 8, 1996.
[16] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received January 21, 1998


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