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Erschienen in:
2016 | OriginalPaper | Buchkapitel
11. The Category CV
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Abstract
In this chapter we resume the study of CV as two-fold concrete category that was commenced in Sect. 10.1 We show it to be dicomplete, how the limits and colimits are formed and how they relate to limits and colimits in the underlying categories. Then we show that CV has parapower-derived powers [E, F], paratensor products X ⊙ E, and tensor products E ⊗ F, all of which uphold appropriate exponential laws. The categorical nature of these developments make them applicable to any foundational category in the role of C.