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Langford, L., 2-tangles as a free braided monoidal 2-category with duals, Ph.D. dissertation, U.C. Riverside, 1997.

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This paper is cited in the following contexts:
Quandle Cohomology and State-sum Invariants of Knotted.. - Carter, Jelsovsky, al. (1999)   (3 citations)  Self-citation (Langford)   (Correct)

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Langford, L., 2-tangles as a free braided monoidal 2-category with duals. Ph.D. dissertation, U.C. Riverside, 1997.


2-Tangles - Baez, Langford (1997)   Self-citation (Langford)   (Correct)

....known as semistrict braided monoidal 2 categories . The result announced here is thus that the 2 category of unframed unoriented 2 tangles in 4 dimensions is the free semistrict braided monoidal 2 category with duals on one unframed self dual object . The proof appears in Langford s dissertation [17], and will be published as part of the Higher Dimensional Algebra series [4] To appreciate this result, one needs some feeling for the topology and algebra involved: that is, for higher dimensional tangles and higher dimensional category theory. Thus we begin with a brief sketch of both, ....

L. Langford, 2-Tangles as a Free Braided Monoidal 2-Category with Duals, Ph.D. dissertation, U. C. Riverside, to appear in Spring 1997.


Computations of Quandle Cocycle Invariants of Knotted .. - Carter, Jelsovsky.. (1999)   (1 citation)  (Correct)

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Langford, L., 2-tangles as a free braided monoidal 2-category with duals, Ph.D. dissertation, U.C. Riverside, 1997.

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