The semi-index product formula
Fundamenta Mathematicae, Tome 140 (1991) no. 2, pp. 99-120
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| $(f_b,g_b:p^{-1}(b) ∩ A)$ 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 $N(f_b,g_b)$.
@article{10_4064_fm_140_2_99_120,
author = {Jerzy Jezierski},
title = {The semi-index product formula},
journal = {Fundamenta Mathematicae},
pages = {99--120},
year = {1991},
volume = {140},
number = {2},
doi = {10.4064/fm-140-2-99-120},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-140-2-99-120/}
}
Jerzy Jezierski. The semi-index product formula. Fundamenta Mathematicae, Tome 140 (1991) no. 2, pp. 99-120. doi: 10.4064/fm-140-2-99-120
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