Dualities Induced by Topological Semirings |
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Authors: | Sebastian Kerkhoff Friedrich Martin Schneider |
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Affiliation: | 1.Technische Universit?t,Dresden,Germany |
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Abstract: | In this paper we establish a general duality theorem for compact Hausdorff spaces being recognizable over certain pairs consisting of a commutative unital topological semiring and a closed proper prime ideal. Indeed, we utilize the concept of blueprints and their localization to prove that the category of compact Hausdorff spaces generated by such a pair can be dually embedded into the category of commutative unital semirings if the pair possesses sufficiently many covering polynomials. |
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