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http://hdl.handle.net/11375/17962
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Sabidussi, G. O. | - |
dc.contributor.author | Higgs, Denis Arthur | - |
dc.date.accessioned | 2015-08-25T16:54:32Z | - |
dc.date.available | 2015-08-25T16:54:32Z | - |
dc.date.issued | 1970-10 | - |
dc.identifier.uri | http://hdl.handle.net/11375/17962 | - |
dc.description.abstract | The approach to a theory of non-finitary matroids, as outlined by the author in [20], is here extended to the case in which the relevant closure operators are defined on arbitrary complete Boolean algebras, rather than on the power sets of sets. As a preliminary to this study, the theory of derivatives of operators on complete Boolean algebras is developed and the notion, having interest in its own right, of an analytic closure operator is introduced . The class of B-matroidal closure operators is singled out for especial attention and it is proved that this class is closed under Whitney duality. Also investigated is the class of those closure operators which are both matroidal and topological. | en_US |
dc.language.iso | en | en_US |
dc.rights | An error occurred on the license name. | * |
dc.rights.uri | An error occurred getting the license - uri. | * |
dc.subject | non-finitary matroids, Boolean algebras, Whitney duality, topological, Boolean, algebra, axioms, B-Matroids | en_US |
dc.title | Matroids on Complete Boolean Algebras | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Higgs_Denis_A_Oct1970_PhD.pdf | 38.98 MB | Adobe PDF | View/Open |
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