Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
Examples of Category Structures
-
Andrzej Trybulec
-
Warsaw University, Bialystok
Summary.
-
We continue the formalization of the category theory.
The terminology and notation used in this paper have been
introduced in the following articles
[14]
[6]
[19]
[20]
[15]
[3]
[4]
[2]
[13]
[1]
[8]
[7]
[9]
[5]
[16]
[12]
[18]
[17]
[10]
[11]
-
Preliminaries
-
An auxiliary notion
-
A bit of lambda calculus
-
More on old categories
-
Transforming an old category into a new one
-
More on new categories
-
The empty category
-
Subcategories
Bibliography
- [1]
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Basic functions and operations on functions.
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- [2]
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- [3]
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- [4]
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Functions from a set to a set.
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- [5]
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Introduction to categories and functors.
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4, 1992.
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- [11]
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- [12]
Beata Madras.
Product of family of universal algebras.
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5, 1993.
- [13]
Michal Muzalewski and Wojciech Skaba.
Three-argument operations and four-argument operations.
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2, 1990.
- [14]
Andrzej Trybulec.
Tarski Grothendieck set theory.
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Axiomatics, 1989.
- [15]
Andrzej Trybulec.
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1, 1989.
- [16]
Andrzej Trybulec.
Many-sorted sets.
Journal of Formalized Mathematics,
5, 1993.
- [17]
Andrzej Trybulec.
Many sorted algebras.
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6, 1994.
- [18]
Andrzej Trybulec.
Categories without uniqueness of \rm cod and \rm dom.
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- [19]
Zinaida Trybulec.
Properties of subsets.
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1, 1989.
- [20]
Edmund Woronowicz.
Relations and their basic properties.
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1, 1989.
Received January 22, 1996
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