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A Categorical Approach to T1 Separation and the Product of State Property Systems

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Abstract

The category SP of state property systems and their morphisms was presentedby Aerts et al. In the present article I will present the functors which establishthe equivalence of this category SP and the category Cls of closure spaces andcontinuous maps. Aerts et al. and Van Steirteghem proved that T0 closure spacescorrespond to 'state determined' state property systems. In this paper I will showthat T1 closure spaces correspond to 'atomistic' state property systems. I alsouse the equivalence between the categories SP and Cls to construct the productof state property systems.

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Authors and Affiliations

  1. TOPO, Department of Mathematics, Brussels Free University, B-1050, Brussels, Belgium

    Ann Van der Voorde

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  1. Ann Van der Voorde
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Van der Voorde, A. A Categorical Approach to T1 Separation and the Product of State Property Systems. International Journal of Theoretical Physics 39, 947–953 (2000). https://doi.org/10.1023/A:1003651602331

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  • DOI: https://doi.org/10.1023/A:1003651602331

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