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Categorical Theory of (infty,ω)-Categories
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Categorical Theory of (infty,ω)-Categories
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This text is dedicated to the development of the theory of $(\infty,\omega)$-categories. We present generalizations of standard results from category theory, such as the lax Grothendieck construction, the Yoneda lemma, lax (co)limits and lax Kan extensions, among others.
Forward citations
Cited by 3 Pith papers
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Higher Semiadditive Character Theory
Every ∞-commutative monoid has a universal (n−t)-fold semiadditive character that blue-shifts height, recovers the transchromatic character on Morava E-theory, and computes L_Q(S^A_{K(n)}) via GL_{n−t}(Z_p)-fixed points.
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The Gray Product of $(\infty, n)$-Categories via Lax Grids
New model of (∞,n)-categories as Segal sheaves on lax grids yields direct Day convolution construction of Gray tensor product agreeing with Campion's.
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The Gray Product of $(\infty, n)$-Categories via Lax Grids
Univalent Segal sheaves on lax grids are monoidally equivalent to (∞,n)-categories with Campion's Gray product, constructed by Day convolution.
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