On the Compactness Property of Mereological Spaces*.
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| Title: | On the Compactness Property of Mereological Spaces*. |
|---|---|
| Authors: | Polkowski, Lech1 (AUTHOR) polkow@pjwstk.edu.pl |
| Source: | Fundamenta Informaticae. 2020, Vol. 172 Issue 1, p73-95. 23p. |
| Subjects: | Boolean algebra |
| Abstract: | Continuing our work on mass-based rough mereologies, we make use of the Stone representation theorem for complete Boolean algebras and we exhibit the existence of a finite base in each mereological space. Those bases in turn allow for the introduction of distributed mereologies; regarding each element of the base as a mereological space, we propose a mechanism for fusing those mereological spaces into a global distributed mereological space. We define distributed mass-assignments and rough inclusions pointing to possible applications. [ABSTRACT FROM AUTHOR] |
| Copyright of Fundamenta Informaticae is the property of Polskie Towarzystwo Matematyczne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 141686024 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the Compactness Property of Mereological Spaces<superscript>*</superscript>. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Polkowski%2C+Lech%22">Polkowski, Lech</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> polkow@pjwstk.edu.pl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fundamenta+Informaticae%22">Fundamenta Informaticae</searchLink>. 2020, Vol. 172 Issue 1, p73-95. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Boolean+algebra%22">Boolean algebra</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Continuing our work on mass-based rough mereologies, we make use of the Stone representation theorem for complete Boolean algebras and we exhibit the existence of a finite base in each mereological space. Those bases in turn allow for the introduction of distributed mereologies; regarding each element of the base as a mereological space, we propose a mechanism for fusing those mereological spaces into a global distributed mereological space. We define distributed mass-assignments and rough inclusions pointing to possible applications. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fundamenta Informaticae is the property of Polskie Towarzystwo Matematyczne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=141686024 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3233/FI-2020-1893 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 73 Subjects: – SubjectFull: Boolean algebra Type: general Titles: – TitleFull: On the Compactness Property of Mereological Spaces*. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Polkowski, Lech IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: 2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 01692968 Numbering: – Type: volume Value: 172 – Type: issue Value: 1 Titles: – TitleFull: Fundamenta Informaticae Type: main |
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