Matroids on Complete Boolean Algebras

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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

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