منابع مشابه
Nielsen Number of a Covering Map
Is it possible to find a formula expressing the Nielsen number N( f ) by the numbers N( ̃ f ) where ̃ f runs the set of all lifts? Such a formula seems very desirable since the difficulty of computing the Nielsen number often depends on the size of the fundamental group. Since π1 ̃ X ⊂ π1X , the computation of N( ̃ f ) may be simpler. We will translate this problem to algebra. The main result of th...
متن کاملNielsen Number and Differential Equations
In reply to a problem of Jean Leray (application of the Nielsen theory to differential equations), two main approaches are presented. The first is via Poincaré’s translation operator, while the second one is based on the Hammerstein-type solution operator. The applicability of various Nielsen theories is discussed with respect to several sorts of differential equations and inclusions. Links wit...
متن کاملThe coincidence Nielsen number for maps into real projective spaces
We give an algorithm to compute the coincidence Nielsen number N(f, g), introduced in [DJ], for pairs of maps into real projective spaces. 1. Preliminaries. Let f, g :M → N be a pair of maps between closed C-smooth connected manifolds of the same dimension. We investigate the coincidence set Φ(f, g) = {x ∈ M : fx = gx} of such a pair. The Nielsen relation (x, y ∈ Φ(f, g) are Nielsen equivalent ...
متن کاملRelative Versions of the Multivalued Lefschetz and Nielsen Theorems and Their Application to Admissible Semi-flows
The relative Lefschetz and Nielsen fixed-point theorems are generalized for compact absorbing contractions on ANR-spaces and nilmanifolds. The nontrivial Lefschetz number implies the existence of a fixedpoint in the closure of the complementary domain. The relative Nielsen numbers improve the lower estimate of the number of coincidences on the total space or indicate the location of fixed-point...
متن کاملCM-fields with relative class number one
We will show that the normal CM-fields with relative class number one are of degrees ≤ 216. Moreover, if we assume the Generalized Riemann Hypothesis, then the normal CM-fields with relative class number one are of degrees ≤ 96, and the CM-fields with class number one are of degrees ≤ 104. By many authors all normal CM-fields of degrees ≤ 96 with class number one are known except for the possib...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1986
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1986.122.459