SOME REMARKS ON PL COLLAPSIBLE COVERS OF 2-DIMENSIONAL POLYHEDRA

Borghini, Eugenio

Osaka Journal of Mathematics, 2020, 57(1), 39-49

アクセス数:152件（2026-09-11 22:45 集計）

固定URL: https://doi.org/10.18910/73736

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タイトル	SOME REMARKS ON PL COLLAPSIBLE COVERS OF 2-DIMENSIONAL POLYHEDRA
著者	著者名 Borghini, Eugenio
抄録	We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a cover by PL collapsible polyhedra. We provide partial characterizations of the polyhedra of dimension 2 that can be decomposed as the union of two PL collapsible subpolyhedra in terms of their simple homotopy type and certain local properties.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(1)
ページ	39-49
刊行年月	2020-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73736
DOI	https://doi.org/10.18910/73736
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 1 （2020-1）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2020, 57(1), p. 39-49
DC.title	SOME REMARKS ON PL COLLAPSIBLE COVERS OF 2-DIMENSIONAL POLYHEDRA
DC.creator	Borghini, Eugenio
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-01
DCTERMS.abstract	We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a cover by PL collapsible polyhedra. We provide partial characterizations of the polyhedra of dimension 2 that can be decomposed as the union of two PL collapsible subpolyhedra in terms of their simple homotopy type and certain local properties.
DC.identifier	10.18910/73736
DC.format	73736
citation_title	SOME REMARKS ON PL COLLAPSIBLE COVERS OF 2-DIMENSIONAL POLYHEDRA
citation_author	Borghini, Eugenio
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	1
citation_firstpage	39
citation_lastpage	49
citation_public_url	https://hdl.handle.net/11094/73736
citation_doi_detail	10.18910/73736
citation_doi	https://doi.org/10.18910/73736