Lexicographic exponentiation of chains
| dc.contributor.author | Holland, Charles W. | deu |
| dc.contributor.author | Kuhlmann, Salma | |
| dc.contributor.author | McCleary, Stephen | deu |
| dc.date.accessioned | 2011-11-16T10:03:47Z | deu |
| dc.date.available | 2011-11-16T10:03:47Z | deu |
| dc.date.issued | 2005 | |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | |
| dc.identifier.citation | Publ. in: Journal of Symbolic Logic ; 70 (2005), 2. - pp. 389-409 | deu |
| dc.identifier.doi | 10.2178/jsl/1120224719 | eng |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/16742 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2011-11-16 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | Lexicographic exponentiation of chains | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @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}
} | |
| kops.citation.iso690 | 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/1120224719 | deu |
| kops.citation.iso690 | 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/1120224719 | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-167424 | deu |
| kops.sourcefield | The Journal of Symbolic Logic. 2005, <b>70</b>(02), pp. 389-409. ISSN 0022-4812. Available under: doi: 10.2178/jsl/1120224719 | deu |
| kops.sourcefield.plain | The Journal of Symbolic Logic. 2005, 70(02), pp. 389-409. ISSN 0022-4812. Available under: doi: 10.2178/jsl/1120224719 | deu |
| kops.sourcefield.plain | The Journal of Symbolic Logic. 2005, 70(02), pp. 389-409. ISSN 0022-4812. Available under: doi: 10.2178/jsl/1120224719 | eng |
| kops.submitter.email | karen-ann.lindner@uni-konstanz.de | deu |
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