Publikation: Lexicographic exponentiation of chains
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2005
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
The Journal of Symbolic Logic. 2005, 70(02), pp. 389-409. ISSN 0022-4812. Available under: doi: 10.2178/jsl/1120224719
Zusammenfassung
The lexicographic power Δ Γ of chains Δ and Γ is, roughly, the Cartesian power ∏γ ∈ ΓΔ, totally ordered lexicographically from the left. Here the focus is on certain powers in which either Δ = ℝ or Γ = ℝ, with emphasis on when two such powers are isomorphic and on when Δ Γ is 2-homogeneous. The main results are:
(1) For a countably infinite ordinal α, ℝα * +α≃ℝ α.
(2) ℝ ℝ≂ℝ ℚ.
(3) For Δ a countable ordinal ≥ 2, Δ ℝ, with its smallest element deleted, is 2-homogeneous.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
HOLLAND, Charles W., Salma KUHLMANN, Stephen MCCLEARY, 2005. Lexicographic exponentiation of chains. In: The Journal of Symbolic Logic. 2005, 70(02), pp. 389-409. ISSN 0022-4812. Available under: doi: 10.2178/jsl/1120224719BibTex
@article{Holland2005Lexic-16742,
year={2005},
doi={10.2178/jsl/1120224719},
title={Lexicographic exponentiation of chains},
number={02},
volume={70},
issn={0022-4812},
journal={The Journal of Symbolic Logic},
pages={389--409},
author={Holland, Charles W. and Kuhlmann, Salma and McCleary, Stephen}
}RDF
<rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/16742">
<dcterms:abstract xml:lang="eng">The lexicographic power Δ Γ of chains Δ and Γ is, roughly, the Cartesian power ∏γ ∈ ΓΔ, totally ordered lexicographically from the left. Here the focus is on certain powers in which either Δ = ℝ or Γ = ℝ, with emphasis on when two such powers are isomorphic and on when Δ Γ is 2-homogeneous. The main results are:<br /><br />(1) For a countably infinite ordinal α, ℝα * +α≃ℝ α.<br /><br />(2) ℝ ℝ≂ℝ ℚ.<br /><br />(3) For Δ a countable ordinal ≥ 2, Δ ℝ, with its smallest element deleted, is 2-homogeneous.</dcterms:abstract>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-11-16T10:03:47Z</dc:date>
<dc:contributor>Kuhlmann, Salma</dc:contributor>
<dc:creator>Holland, Charles W.</dc:creator>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-11-16T10:03:47Z</dcterms:available>
<dcterms:title>Lexicographic exponentiation of chains</dcterms:title>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/16742"/>
<dc:contributor>McCleary, Stephen</dc:contributor>
<dc:contributor>Holland, Charles W.</dc:contributor>
<dc:language>eng</dc:language>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:creator>McCleary, Stephen</dc:creator>
<dc:rights>terms-of-use</dc:rights>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:creator>Kuhlmann, Salma</dc:creator>
<dcterms:issued>2005</dcterms:issued>
<dcterms:bibliographicCitation>Publ. in: Journal of Symbolic Logic ; 70 (2005), 2. - pp. 389-409</dcterms:bibliographicCitation>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
