A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor is of the Identity+Compact type and the other is an A-compact mapping.
@article{urn:eudml:doc:42476,
title = {The product formula.},
journal = {Collectanea Mathematica},
volume = {42},
year = {1991},
pages = {157-162},
zbl = {0807.47049},
mrnumber = {MR1203395},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42476}
}
López Acedo, Genaro. The product formula.. Collectanea Mathematica, Tome 42 (1991) pp. 157-162. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42476/