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Closed set logic in categories / William James.James, William, 1968- January 1996 (has links)
Bibliography: leaves 263-266. / v, 266 leaves ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / This thesis investigates two related aspects of a dualisation program for the intuitionist logic in categories. The dualisation program has as its end the presentation of closed set logic in place of the usual open set logic found in association with toposes. The study is concerned especially with Brouwerian algebras in categories as the duals of the usual Heyting algebras. Defines the notion of a sheaf over the closed sets of a topological space. Investigates the sheaves for their algebric properties in relation to base space topologies. / Thesis (Ph.D.)--University of Adelaide, Dept. of Philosophy, 1996
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Closed set logic in categories / William James.James, William, 1968- January 1996 (has links)
Bibliography: leaves 263-266. / v, 266 leaves ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / This thesis investigates two related aspects of a dualisation program for the intuitionist logic in categories. The dualisation program has as its end the presentation of closed set logic in place of the usual open set logic found in association with toposes. The study is concerned especially with Brouwerian algebras in categories as the duals of the usual Heyting algebras. Defines the notion of a sheaf over the closed sets of a topological space. Investigates the sheaves for their algebric properties in relation to base space topologies. / Thesis (Ph.D.)--University of Adelaide, Dept. of Philosophy, 1996
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