Maps between Sol $3$-manifolds and coincidence Nielsen numbers

2017 ◽  
Vol 24 (4) ◽  
pp. 657-664 ◽  
Author(s):  
Karen Regina Panzarin
Keyword(s):  
Nielsen Numbers

Nielsen numbers of maps of aspherical figure-eight type polyhedra

2015 ◽  
Vol 27 (3) ◽  
Author(s):  
Peter Yi ◽  
Seung Won Kim
Keyword(s):  
Nielsen Numbers

AbstractLet

scholarly journals Ivanov’s Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1602
Author(s):  
Jan Andres ◽  
Jerzy Jezierski
Keyword(s):  
Differential Equations ◽  
Topological Entropy ◽  
Lower Estimate ◽  
Deterministic Chaos ◽  
Impulsive Differential Equations ◽  
Nielsen Numbers ◽  
Positive Topological Entropy ◽  
Admissible Pairs ◽  
Impulsive Dynamics ◽  
Differential Equations And Inclusions

The main aim of this article is two-fold: (i) to generalize into a multivalued setting the classical Ivanov theorem about the lower estimate of a topological entropy in terms of the asymptotic Nielsen numbers, and (ii) to apply the related inequality for admissible pairs to impulsive differential equations and inclusions on tori. In case of a positive topological entropy, the obtained result can be regarded as a nontrivial contribution to deterministic chaos for multivalued impulsive dynamics.

scholarly journals Nielsen numbers of maps of tori

1975 ◽  
Vol 52 (1) ◽  
pp. 398-398 ◽  
Author(s):  
Robin B. S. Brooks ◽  
Robert F. Brown ◽  
Jingyal Pak ◽  
Douglas H. Taylor
Keyword(s):  
Nielsen Numbers

scholarly journals Nielsen numbers for based maps, and for noncompact spaces

1997 ◽  
Vol 79 (2) ◽  
pp. 101-119 ◽  
Author(s):  
Philip R. Heath ◽  
Xuezhi Zhao
Keyword(s):  
Nielsen Numbers

scholarly journals Nielsen numbers for roots of maps of aspherical manifolds

1995 ◽  
Vol 170 (2) ◽  
pp. 405-420 ◽  
Author(s):  
Robin Brooks ◽  
Charles Odenthal
Keyword(s):  
Nielsen Numbers ◽  
Aspherical Manifolds
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