We prove that the index defined by Szymczak in [9] has an additivity property. Moreover we give an abstract theorem for extending coproducts from an initial category to the Szymczak category, which provides a setting for the proof of additivity.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-2,
author = {Kinga Stolot},
title = {Coproducts and the additivity of the Szymczak index},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {211-226},
zbl = {1134.37317},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-2}
}
Kinga Stolot. Coproducts and the additivity of the Szymczak index. Annales Polonici Mathematici, Tome 85 (2005) pp. 211-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-2/