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dc.contributor.advisorCockett, James Robin B.
dc.contributor.authorGuo, Xiuzhan
dc.date.accessioned2005-08-16T17:00:58Z
dc.date.available2005-08-16T17:00:58Z
dc.date.issued2004
dc.identifier.citationGuo, X. (2004). Ranges, restrictions, partial maps, and fibrations (Unpublished master's thesis). University of Calgary, Calgary, AB. doi:10.11575/PRISM/18371en_US
dc.identifier.isbn0612933733en
dc.identifier.urihttp://hdl.handle.net/1880/41565
dc.descriptionBibliography: p. 224-226en
dc.description.abstractIn this thesis, we study range restriction categories and their properties. Range restriction categories with split restriction idempotents are shown to be equivalent to the partial map categories of ℳ-stable factorization systems. The notions of a restriction fibration, a range restriction fibration, a stable meet semilattice fibration, and a range stable meet semilattice fibration are introduced and it is shown that (range) stable meet semilattice fibrations provide a bridge between the category of (range) restriction categories and the category of categories and that (range) restric­tion fibrations are the same as (range) restriction categories so that these fibrations provide a useful setting for studying (range) restriction categories. Finally, we con­struct the free range restriction structures over directed graphs using deterministic trees.en
dc.format.extentvii, 228 leaves : ill. ; 30 cm.en
dc.language.isoeng
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.titleRanges, restrictions, partial maps, and fibrations
dc.typemaster thesis
dc.publisher.institutionUniversity of Calgaryen
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/18371
thesis.degree.nameMaster of Science
thesis.degree.nameMS
thesis.degree.nameMSc
thesis.degree.disciplineComputer Science
thesis.degree.grantorUniversity of Calgary
dc.identifier.lccAC1 .T484 2004 G865en
dc.publisher.placeCalgaryen
ucalgary.thesis.notesUARCen
ucalgary.thesis.uarcreleaseyen
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 1505 520492022


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University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.