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Full-Text Articles in Physical Sciences and Mathematics

Laminations, Or How To Build A Quantum-Logic-Valued Model Of Set Theory, Lawrence Stout Dec 1978

Laminations, Or How To Build A Quantum-Logic-Valued Model Of Set Theory, Lawrence Stout

Lawrence N. Stout

An explicit construction of the colimit of a filtered diagram in the category of topoi and logical morphisms is given and then used to construct a family of topoi with a fixed Boolean algebra of truth values but with varying amounts of cocompleteness. This same construction, when applied to the diagram of complete Boolean algebras in a quantum logic Q gives a partial topos, a noncategory which is a close to being a model of set theory with algebra of truth values Q as a noncategory can be.


Imaging Of Paramagnetic Centres In Diamond, M.J. R. Hoch, Anthony Roy Day Dec 1978

Imaging Of Paramagnetic Centres In Diamond, M.J. R. Hoch, Anthony Roy Day

Anthony Roy Day

An imaging method for determining the spatial distribution of paramagnetic nitrogen centres in diamond is described. Results are presented for a sample consisting of two small type IB diamonds.


Band Matrices With Toeplitz Inverses, William F. Trench, T N. E. Greville Dec 1978

Band Matrices With Toeplitz Inverses, William F. Trench, T N. E. Greville

William F. Trench

No abstract provided.