Abstract
We investigate a Galois correspondence between the category of closure spaces (where closures are considered to be only grounded, extensive and monotone) and the category of relational systems of a given arity (where arities are considered to be ordinals). We show that objects of the obtained coreflective subcategory of the category of closure spaces are suitable for applications to digital topology because their connectedness is a certain type of path connectedness.
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© 2004 Springer Science+Business Media Dordrecht
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Šlapal, J. (2004). A Galois Correspondence for Digital Topology. In: Denecke, K., Erné, M., Wismath, S.L. (eds) Galois Connections and Applications. Mathematics and Its Applications, vol 565. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-1898-5_13
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DOI: https://doi.org/10.1007/978-1-4020-1898-5_13
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