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Showing 1 to 7 of 7 for “"monoidal category"”.

  1. Coend elements of a Hopf algebra in a braided rigid monoidal category

    Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-05-01

    uiuc Repository record for Coend elements of a Hopf algebra in a braided rigid monoidal category (opens in a new tab)

  2. Coherence for categorified operadic theories

    … isomorphism. This generalizes the theories of monoidal categories and symmetric monoidal categories, and several related notions defined in the literature. Using this definition, we generalize the result that every monoidal category is monoidally equivalent to a strict monoidal category, and …

    glasgow Repository record for Coherence for categorified operadic theories (opens in a new tab)

  3. Interactions of (co)monads in Agda

    … We study monads and comonads on an arbitrary monoidal category, assuming properties such as symmetry only if needed. We do not assume any axioms from classical mathematics which are noncomputable or those which would be incompatible with univalence such as choice, LEM or K. Our formalization …

    reykjavik Repository record for Interactions of (co)monads in Agda (opens in a new tab)

  4. Fusion of Perturbed Defects in Conformal Field Theory

    … of a CFT through studying the representation category of the underlying chiral algebra. Then by introducing defects in the system, conserved charges can be constructed by perturbing certain conformal defects.<br/> Starting from an abelian rigid braided monoidal category C one defines an …

    kings Repository record for Fusion of Perturbed Defects in Conformal Field Theory (opens in a new tab)

  5. Internal enriched categories

    … theory of enriched categories. Given an internal monoidal category V in an ambient category E, we define the notions of V-enriched category, functor and natural transformation. We then develop such theory, which presents many of the good properties of standard enriched category theory. Notably, …

    cambridge Repository record for Internal enriched categories (opens in a new tab)

  6. Loop Spaces and Iterated Higher Dimensional Enrichment

    … massive effort by many researchers to link category theory and geometry, especially homotopy coherence and categorical coherence. This constitutes just a part of the broad undertaking known as categorification as described by Baez and Dolan. This effort has as a partial goal that of …

    vt Repository record for Loop Spaces and Iterated Higher Dimensional Enrichment (opens in a new tab)

  7. Autonomous Pseudomonoids

    … to the context of autonomous pseudomonoids in monoidal bicategories. Autonomous pseudomonoids were introduced in [13] as generalisations of both autonomous monoidal categories and Hopf algebras. Much of the theory of autonomous pseudomonoids developed in [13] was inspired by the example of …

    cambridge Repository record for Autonomous Pseudomonoids (opens in a new tab)