Coproducts in Categories without Uniqueness of cod and dom

Maciej Golinski; Artur Korniłowicz

Formalized Mathematics (2013)

  • Volume: 21, Issue: 4, page 235-239
  • ISSN: 1426-2630

Abstract

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The paper introduces coproducts in categories without uniqueness of cod and dom. It is proven that set-theoretical disjoint union is the coproduct in the category Ens [9].

How to cite

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Maciej Golinski, and Artur Korniłowicz. "Coproducts in Categories without Uniqueness of cod and dom." Formalized Mathematics 21.4 (2013): 235-239. <http://eudml.org/doc/266787>.

@article{MaciejGolinski2013,
abstract = {The paper introduces coproducts in categories without uniqueness of cod and dom. It is proven that set-theoretical disjoint union is the coproduct in the category Ens [9].},
author = {Maciej Golinski, Artur Korniłowicz},
journal = {Formalized Mathematics},
keywords = {coproducts; disjoined union},
language = {eng},
number = {4},
pages = {235-239},
title = {Coproducts in Categories without Uniqueness of cod and dom},
url = {http://eudml.org/doc/266787},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Maciej Golinski
AU - Artur Korniłowicz
TI - Coproducts in Categories without Uniqueness of cod and dom
JO - Formalized Mathematics
PY - 2013
VL - 21
IS - 4
SP - 235
EP - 239
AB - The paper introduces coproducts in categories without uniqueness of cod and dom. It is proven that set-theoretical disjoint union is the coproduct in the category Ens [9].
LA - eng
KW - coproducts; disjoined union
UR - http://eudml.org/doc/266787
ER -

References

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  1. [1] Grzegorz Bancerek. K¨onig’s theorem. Formalized Mathematics, 1(3):589-593, 1990. 
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  6. [6] Artur Korniłowicz. Products in categories without uniqueness of cod and dom. Formalized Mathematics, 20(4):303-307, 2012. doi:10.2478/v10037-012-0036-7.[Crossref] Zbl1301.18007
  7. [7] Beata Madras. Basic properties of objects and morphisms. Formalized Mathematics, 6 (3):329-334, 1997. 
  8. [8] Beata Perkowska. Free many sorted universal algebra. Formalized Mathematics, 5(1): 67-74, 1996. 
  9. [9] Zbigniew Semadeni and Antoni Wiweger. Wst¸ep do teorii kategorii i funktorów, volume 45 of Biblioteka Matematyczna. PWN, Warszawa, 1978. Zbl0445.18001
  10. [10] Andrzej Trybulec. Categories without uniqueness of cod and dom. Formalized Mathematics, 5(2):259-267, 1996. 
  11. [11] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. 
  12. [12] Andrzej Trybulec. Many sorted sets. Formalized Mathematics, 4(1):15-22, 1993. 
  13. [13] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  14. [14] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 

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