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Journal
Revista Matematica Complutense
100
Author
Pawłucki Wiesław
Volume
37
Number
3
Pages
713–722
ISSN
1139-1138
eISSN
1988-2807
Keywords in English
O-minimal structure
locally definable subset
C p-triangulation
strict C p-triangulation
Access date
2025-04-09
Language
English
Journal language
English
Abstract in English
We show how to derive triangulations of sets locally definable in o-minimal structures from triangulations of compact definable sets. We give it in particular for strict
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
2
| dc.abstract.en | We show how to derive triangulations of sets locally definable in o-minimal structures from triangulations of compact definable sets. We give it in particular for strict $\mathbb{C}^{p}$-triangulations which has been recently studied by the author. This combined with a theorem of Fernando and Ghiloni implies that every continuous mapping defined on a locally compact subset B of $\mathbb{R}^{m}$ with values in any locally definable and locally compact subset A of $\mathbb{R}^{n}$ can be approximated $\mathbb{C}^{p}$ by -mappings defined on B with values in A for any positive integer p. | |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | |
| dc.contributor.author | Pawłucki, Wiesław - 131322 | |
| dc.date.accession | 2025-04-09 | |
| dc.date.accessioned | 2025-04-09T10:09:43Z | |
| dc.date.available | 2025-04-09T10:09:43Z | |
| dc.date.createdat | 2025-04-09T06:34:29Z | en |
| dc.date.issued | 2024 | |
| dc.description.number | 3 | |
| dc.description.physical | 713–722 | |
| dc.description.volume | 37 | |
| dc.identifier.doi | 10.1007/s13163-023-00471-4 | |
| dc.identifier.eissn | 1988-2807 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.uri | https://ruj.uj.edu.pl/handle/item/551274 | |
| dc.identifier.weblink | https://link.springer.com/article/10.1007/s13163-023-00471-4 | |
| dc.language | eng | |
| dc.language.container | eng | |
| dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | |
| dc.rights.licence | CC-BY | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | |
| dc.share.type | inne | |
| dc.subject.en | O-minimal structure | |
| dc.subject.en | locally definable subset | |
| dc.subject.en | C p-triangulation | |
| dc.subject.en | strict C p-triangulation | |
| dc.subtype | Article | |
| dc.title | Strict ${\mathcal {C}}^p$-triangulations of sets locally definable in o-minimal structures with an application to a $\mathcal C^p$-approximation problem | |
| dc.title.journal | Revista Matematica Complutense | |
| dc.type | JournalArticle | |
| dspace.entity.type | Publication | en |
dc.abstract.en
We show how to derive triangulations of sets locally definable in o-minimal structures from triangulations of compact definable sets. We give it in particular for strict $\mathbb{C}^{p}$-triangulations which has been recently studied by the author. This combined with a theorem of Fernando and Ghiloni implies that every continuous mapping defined on a locally compact subset B of $\mathbb{R}^{m}$ with values in any locally definable and locally compact subset A of $\mathbb{R}^{n}$ can be approximated $\mathbb{C}^{p}$ by -mappings defined on B with values in A for any positive integer p. dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki dc.contributor.author
Pawłucki, Wiesław - 131322 dc.date.accession
2025-04-09 dc.date.accessioned
2025-04-09T10:09:43Z dc.date.available
2025-04-09T10:09:43Z dc.date.createdaten
2025-04-09T06:34:29Z dc.date.issued
2024 dc.description.number
3 dc.description.physical
713–722 dc.description.volume
37 dc.identifier.doi
10.1007/s13163-023-00471-4 dc.identifier.eissn
1988-2807 dc.identifier.issn
1139-1138 dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/551274 dc.identifier.weblink
https://link.springer.com/article/10.1007/s13163-023-00471-4 dc.language
eng dc.language.container
eng dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa dc.rights.licence
CC-BY dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl dc.share.type
inne dc.subject.en
O-minimal structure dc.subject.en
locally definable subset dc.subject.en
C p-triangulation dc.subject.en
strict C p-triangulation dc.subtype
Article dc.title
Strict ${\mathcal {C}}^p$-triangulations of sets locally definable in o-minimal structures with an application to a $\mathcal C^p$-approximation problem dc.title.journal
Revista Matematica Complutense dc.type
JournalArticle dspace.entity.typeen
Publication Affiliations
Wydział Matematyki i Informatyki
Pawłucki, Wiesław
mathematics
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