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More on Sublocales

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Frames and Locales

Part of the book series: Frontiers in Mathematics ((FM))

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Abstract

Let X be a (T0-)space and let \( A {\subseteq} X \) be a subspace. We have the embedding \( jA : A {\subseteq} X \) and the sublocale homomorphism (i.e., frame quotient) \( {\Omega}(jA) = (U {\mapsto} U {\cap} A) : {\Omega}(X) \rightarrow {\Omega}(A) \).

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Correspondence to Jorge Picado .

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© 2012 Springer Basel AG

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Picado, J., Pultr, A. (2012). More on Sublocales. In: Frames and Locales. Frontiers in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0154-6_6

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