Dynamics of induced homeomorphisms of one-dimensional solenoids

Dynamics of induced homeomorphisms of one-dimensional solenoids

We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also d...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2017-04
1. Verfasser: López Hernández, Francisco José
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
Solenoids
Subgroups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator López Hernández, Francisco José
description We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory.
doi_str_mv 10.48550/arxiv.1704.00110
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1704_00110</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2074212642</sourcerecordid><originalsourceid>FETCH-LOGICAL-a522-f3b8a48dec7ff7645f85d91c485038916c2f9de2debf319055efd195b73ca3fc3</originalsourceid><addsrcrecordid>eNotj0tLxDAYRYMgOIzzA1xZcN2afEmadiUyPmHAzexLmgeToUlqYsX599aOq7u4l8s5CN0QXLGGc3wv04_7rojArMKYEHyBVkApKRsGcIU2OR8xxlAL4Jyu0MPTKUjvVC6iLVzQkzK6OERvoo9pPLjslyYGU2rnTcguBjkUOQ4mRKfzNbq0cshm859rtH953m_fyt3H6_v2cVdKDlBa2jeSNdooYa2oGbcN1y1RMzGmTUtqBbbVBrTpLSUt5txYTVreC6oktYqu0e35drHrxuS8TKfuz7JbLOfF3Xkxpvg5mfzVHeOUZtbcARYMCNQM6C8zl1Vx</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2074212642</pqid></control><display><type>article</type><title>Dynamics of induced homeomorphisms of one-dimensional solenoids</title><source>arXiv.org</source><source>Free E- Journals</source><creator>López Hernández, Francisco José</creator><creatorcontrib>López Hernández, Francisco José</creatorcontrib><description>We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1704.00110</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Mathematics - Dynamical Systems ; Solenoids ; Subgroups</subject><ispartof>arXiv.org, 2017-04</ispartof><rights>2017. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1704.00110$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.3934/dcds.2018185$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>López Hernández, Francisco José</creatorcontrib><title>Dynamics of induced homeomorphisms of one-dimensional solenoids</title><title>arXiv.org</title><description>We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory.</description><subject>Mathematics - Dynamical Systems</subject><subject>Solenoids</subject><subject>Subgroups</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj0tLxDAYRYMgOIzzA1xZcN2afEmadiUyPmHAzexLmgeToUlqYsX599aOq7u4l8s5CN0QXLGGc3wv04_7rojArMKYEHyBVkApKRsGcIU2OR8xxlAL4Jyu0MPTKUjvVC6iLVzQkzK6OERvoo9pPLjslyYGU2rnTcguBjkUOQ4mRKfzNbq0cshm859rtH953m_fyt3H6_v2cVdKDlBa2jeSNdooYa2oGbcN1y1RMzGmTUtqBbbVBrTpLSUt5txYTVreC6oktYqu0e35drHrxuS8TKfuz7JbLOfF3Xkxpvg5mfzVHeOUZtbcARYMCNQM6C8zl1Vx</recordid><startdate>20170401</startdate><enddate>20170401</enddate><creator>López Hernández, Francisco José</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170401</creationdate><title>Dynamics of induced homeomorphisms of one-dimensional solenoids</title><author>López Hernández, Francisco José</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a522-f3b8a48dec7ff7645f85d91c485038916c2f9de2debf319055efd195b73ca3fc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Dynamical Systems</topic><topic>Solenoids</topic><topic>Subgroups</topic><toplevel>online_resources</toplevel><creatorcontrib>López Hernández, Francisco José</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>López Hernández, Francisco José</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of induced homeomorphisms of one-dimensional solenoids</atitle><jtitle>arXiv.org</jtitle><date>2017-04-01</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1704.00110</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2017-04
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1704_00110
source arXiv.org; Free E- Journals
subjects Mathematics - Dynamical Systems
Solenoids
Subgroups
title Dynamics of induced homeomorphisms of one-dimensional solenoids
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-02T02%3A02%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamics%20of%20induced%20homeomorphisms%20of%20one-dimensional%20solenoids&rft.jtitle=arXiv.org&rft.au=L%C3%B3pez%20Hern%C3%A1ndez,%20Francisco%20Jos%C3%A9&rft.date=2017-04-01&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1704.00110&rft_dat=%3Cproquest_arxiv%3E2074212642%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2074212642&rft_id=info:pmid/&rfr_iscdi=true