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2016 | OriginalPaper | Chapter

10. Enriched Dualities

Author : Louis Nel

Published in: Continuity Theory

Publisher: Springer International Publishing

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Abstract

The classical Gelfand-Naimark duality expresses dual equivalence of the category of compact spaces and the category of rings of continuous \(\mathbb{R}\)-valued mappings on these spaces. The classical Stone duality expresses dual equivalence of the category of Stone spaces (compact zero-dimensional) and the category of Boolean rings of continuous mappings on Stone spaces. In this chapter we set forth representations that are, on the one hand, reminiscent of these long known classical dualities while, on the other hand, significantly different.

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previous chapter Reflective Subcategories of C
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Metadata
Title
Enriched Dualities
Author
Louis Nel
Copyright Year
2016
Book
Continuity Theory

Print ISBN: 978-3-319-31158-6

Electronic ISBN: 978-3-319-31159-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-31159-3_10

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