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• W1958250673 abstract "A compact closed bicategory is a symmetric monoidal bicategory where every object is equipped with a weak dual. The unit and counit satisfy the usual zig-zag identities of a compact closed category only up to natural isomorphism, and the isomorphism is subject to a coherence law. We give several examples of compact closed bicategories, then review previous work. In particular, Day and Street defined compact closed bicategories indirectly via Gray monoids and then appealed to a coherence theorem to extend the concept to bicategories; we restate the definition directly. We prove that given a 2-category T with finite products and weak pullbacks, the bicategory of objects of C, spans, and isomorphism classes of maps of spans is compact closed. As corollaries, the bicategory of spans of sets and certain bicategories of resistor networks are compact closed." @default.
• W1958250673 created "2016-06-24" @default.
• W1958250673 creator A5069922779 @default.
• W1958250673 date "2013-01-06" @default.
• W1958250673 modified "2023-09-27" @default.
• W1958250673 title "Compact Closed Bicategories" @default.
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• W1958250673 hasPublicationYear "2013" @default.
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