Products in Categories without Uniqueness of cod and dom

Artur Korniłowicz

Formalized Mathematics (2012)

  • Volume: 20, Issue: 4, page 303-307
  • ISSN: 1426-2630

Abstract

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The paper introduces Cartesian products in categories without uniqueness of cod and dom. It is proven that set-theoretical product is the product in the category Ens [7].

How to cite

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Artur Korniłowicz. "Products in Categories without Uniqueness of cod and dom." Formalized Mathematics 20.4 (2012): 303-307. <http://eudml.org/doc/268212>.

@article{ArturKorniłowicz2012,
abstract = {The paper introduces Cartesian products in categories without uniqueness of cod and dom. It is proven that set-theoretical product is the product in the category Ens [7].},
author = {Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {303-307},
title = {Products in Categories without Uniqueness of cod and dom},
url = {http://eudml.org/doc/268212},
volume = {20},
year = {2012},
}

TY - JOUR
AU - Artur Korniłowicz
TI - Products in Categories without Uniqueness of cod and dom
JO - Formalized Mathematics
PY - 2012
VL - 20
IS - 4
SP - 303
EP - 307
AB - The paper introduces Cartesian products in categories without uniqueness of cod and dom. It is proven that set-theoretical product is the product in the category Ens [7].
LA - eng
UR - http://eudml.org/doc/268212
ER -

References

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  1. [1] Grzegorz Bancerek. König’s theorem. Formalized Mathematics, 1(3):589-593, 1990. 
  2. [2] Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  3. [3] Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  4. [4] Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. 
  5. [5] Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  6. [6] Beata Madras. Basic properties of objects and morphisms. Formalized Mathematics, 6(3):329-334, 1997. 
  7. [7] Zbigniew Semadeni and Antoni Wiweger. Wst¸ep do teorii kategorii i funktorów, volume 45 of Biblioteka Matematyczna. PWN, Warszawa, 1978. Zbl0445.18001
  8. [8] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. 
  9. [9] Andrzej Trybulec. Many sorted sets. Formalized Mathematics, 4(1):15-22, 1993. 
  10. [10] Andrzej Trybulec. Categories without uniqueness of cod and dom. Formalized Mathematics, 5(2):259-267, 1996. 
  11. [11] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  12. [12] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 

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