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/