English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 DetailsSummary
  The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic points

Fel'shtyn, A., & Lee, J. B. (2018). The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic points. Journal of Fixed Point Theory and Applications, 20(2): 62. doi:10.1007/s11784-018-0541-6.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/21.11116/0000-0003-FCC4-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-FCC8-0
Genre: Journal Article
Latex : The Nielsen numbers of iterations of maps on infra-solvmanifolds of type $R$ and periodic points

Files

show Files
hide Files
:
arXiv:1403.7631.pdf (Preprint), 300KB
View   Save
File Permalink:
https://hdl.handle.net/21.11116/0000-0003-FCC6-2
Name:
arXiv:1403.7631.pdf
Description:
File downloaded from arXiv at 2019-07-08 11:21
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
View
Copyright Date:
-
Copyright Info:
-
License:
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
:
FelShtyn-Lee_The Nielsen Numbers Of Iterations Of Maps on Infra-Solvmanifolds_2018.pdf (Publisher version), 734KB
View   Save
File Permalink:
https://hdl.handle.net/21.11116/0000-0003-FCC7-1
Name:
FelShtyn-Lee_The Nielsen Numbers Of Iterations Of Maps on Infra-Solvmanifolds_2018.pdf
Description:
-
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
View
Copyright Date:
-
Copyright Info:
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License:
http://creativecommons.org/licenses/by/4.0/

Locators

show
hide
Locator:
https://doi.org/10.1007/s11784-018-0541-6 (Publisher version)
Description:
-
OA-Status:

Creators

show
hide
 Creators:
Fel'shtyn, Alexander1, Author           
Lee, Jong Bum, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Content

show
hide
Free keywords: Mathematics, Dynamical Systems, Algebraic Topology, Geometric Topology
 Abstract: We study the asymptotic behavior of the sequence of the Nielsen numbers
$\{N(f^k)\}$, the essential periodic orbits of $f$ and the homotopy minimal periods of $f$ using the Nielsen theory of maps $f$ on infra-solvmanifolds of type $R$. We give a linear lower bound for the number of essential periodic orbits of such a map, which sharpens well-known results of Shub and Sullivan for periodic points and of Babenko and Bogatyi for periodic orbits. We also verify that a constant multiple of infinitely many prime numbers occur as
homotopy minimal periods of such a map.

Details

show
hide
Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
 Pages: 31 pp.
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1403.7631
URI: http://arxiv.org/abs/1403.7631
DOI: 10.1007/s11784-018-0541-6
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of Fixed Point Theory and Applications
  Abbreviation : J. Fixed Point Theory Appl.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 20 (2) Sequence Number: 62 Start / End Page: - Identifier: -