dc.contributor.author | Balcerzak, Marek | pl_PL |
dc.contributor.author | Hejduk, Jacek | pl_PL |
dc.contributor.author | Wachowicz, Artur | pl_PL |
dc.date.accessioned | 2022-12-07T09:43:06Z | |
dc.date.available | 2022-12-07T09:43:06Z | |
dc.date.issued | 2023 | pl_PL |
dc.identifier.issn | 1422-6383 | * |
dc.identifier.uri | http://hdl.handle.net/11089/44503 | |
dc.description.abstract | We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class Π<SUP>0</SUP><SUB>3</SUB> which is analogous to the measure case. We also introduce the notion of the Baire category density point of a subset with the Baire property of the Cantor space, and we prove that it generates a lower density operator with Borel values of class Π<SUP>0</SUP><SUB>3</SUB>. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Springer Nature | pl_PL |
dc.relation.ispartofseries | Results in Mathematics | * |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | pl_PL |
dc.subject | Lower density operator | pl_PL |
dc.subject | density point | pl_PL |
dc.subject | the Baire property | pl_PL |
dc.subject | Borel level | pl_PL |
dc.title | Baire Category Lower Density Operators with Borel Values | pl_PL |
dc.type | Article | * |
dc.page.number | 1-11 | pl_PL |
dc.contributor.authorAffiliation | Uniwersytet Łódzki, Wydział Matematyki i Informatyki, Katedra Funkcji Rzeczywistych | pl_PL |
dc.identifier.eissn | 1420-9012 | * |
dc.contributor.authorEmail | jacek.hejduk@wmii.uni.lodz.pl | pl_PL |
dc.identifier.doi | 10.1007/s00025-022-01781-7 | pl_PL |
dc.relation.volume | 78 | * |
dc.discipline | matematyka | pl_PL |