We consider fibre bundle maps (...) where all spaces involved are smooth closed manifolds (with no orientability assumption). We find a necessary and sufficient condition for the formula |ind|(f,g:A) = |ind| (f̅,g̅: p(A)) |ind| to hold, where A stands for a Nielsen class of (f,g), b ∈ p(A) and |ind| denotes the coincidence semi-index from [DJ]. This formula enables us to derive a relation between the Nielsen numbers N(f,g), N(f̅,g̅) and .
@article{bwmeta1.element.bwnjournal-article-fmv140i2p99bwm,
author = {Jerzy Jezierski},
title = {The semi-index product formula},
journal = {Fundamenta Mathematicae},
volume = {141},
year = {1992},
pages = {99-120},
zbl = {0811.55003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv140i2p99bwm}
}
Jezierski, Jerzy. The semi-index product formula. Fundamenta Mathematicae, Tome 141 (1992) pp. 99-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i2p99bwm/
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