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Title
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The category of necklaces is reedy monoidal
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Author
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Abstract
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| In the first part of this note we further the study of the interactions between Reedy and monoidal structures on a small category, building upon the work of Barwick. We define a Reedy monoidal category as a Reedy category R which is monoidal such that for all symmetric monoidal model categories A, the category Fun (Rop, A)Reedy is monoidal model when equipped with the Day convolution. In the second part, we study the category Alec of necklaces, as defined by Baues and Dugger-Spivak. Making use of a combinatorial description present in Grady-Pavlov and Lowen-Mertens, we streamline some proofs from the literature, and finally show that Alec is simple Reedy monoidal. |
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Language
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English
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Source (journal)
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Theory and applications of categories. - -
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Publication
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2024
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ISSN
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1201-561X
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Volume/pages
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41
:3
(2024)
, p. 71-85
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ISI
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001164710000001
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Full text (publisher's version - intranet only)
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