NICK GURSKI THESIS

NICK GURSKI THESIS

I believe some argument similar in spirit to the one from notes of Tom Leinster should work, but triequivalences or more generally, homomorphisms of tricategories are such complicated objects that it is not quite obvious for me how to do this. Slides from talks Terminal coalgebras. Also available here , and on the arXiv Journal of K-Theory , 13 2: To appear in Theory and Applications of Categories.

Eugenia Cheng’s Research papers The category of opetopes and the category of opetopic sets. With Aaron Lauda, Simple-minded coherence of tricategories Ask Question. In Journal of Pure and Applied Algebra , 2: In Journal of Pure and Applied Algebra, My question concerns known results about such “simple-minded” coherence for monoidal bicategories ie.

In particular, any monoidal bicategory is equivalent to a Gray monoid. With Nick Gurski and Emily Riehl.

tricategory in nLab

With Aaron Lauda, Eugenia Cheng’s Research papers The category of opetopes and the category of opetopic sets. Timothy Gowers et al, Princeton University Press, Cyclic multicategories, multivariable adjunctions and mates. In Journal of Pure and Applied Algebra, Comparing operadic theories of n -category,47 pages.

Slides from talks Terminal coalgebras. Submitted book Higher dimensional categories: Has this been covered in the literature?

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nick gurski thesis

Journal of K-Theory, 13 2: I frequently find it very problematic to prove any uniqueness results due to the relevant computations being difficult. Translating it into the easier language of monoidal bicategories we obtain the following.

I believe some argument similar in spirit to the one from notes of Tom Leinster should work, but triequivalences or more generally, homomorphisms of tricategories are such complicated objects that it is not quite obvious for me how to do this. Also available hereand on the arXiv This is related to the fact that a one-object monoidal bicategory is njck the same” as a braided monoidal category a result due to Gordon, Power, Streetwith the braiding given by a clever composition of 2-cells.

In Journal of Pure and Applied Algebra3: Towards an n-category of cobordisms. A direct proof that the category of 3-computads is not theais closed. Slides from talks Terminal coalgebras.

College of Arts and Sciences

Is there any general framework for proving that some classes of diagrams gueski in every tricategory? Unicorn Meta Zoo 3: Recall Mac Lane’s version of coherence for monoidal categories, which one can state informally as follows:.

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nick gurski thesis

Cyclic multicategories, multivariable adjunctions and mates. In Theory and Applications of Categories, Here I am using the algebraic definition of a monoidal bicategory, ie.

Inck note on Penon’s definition of weak n -category. Sign up using Facebook. Comparing operadic theories of n-category,47 pages. However, what is not clear to me is how to extract from this some “simple-minded” corollaries, ie.

In Homotopy, Homology and Applications13 2: Towards an n -category of cobordisms. It has quite a lot beyond what is in Gordon, Street, Power, including making the theory of tricategories fully algebraic.

In Homotopy, Homology and Applications, 13 nicm The question is answered in a paper of Nick Gurski, “An algebraic theory of tricategories” and probably also in his new book “Coherence in Three-dimensional Category Theory”.