Constructs the tensor product of categorical spectra and uses stability phenomena to derive the cobordism hypothesis with singularities categorically from the ordinary cobordism hypothesis.
Cubes are dense in(∞, ∞)-categories
3 Pith papers cite this work. Polarity classification is still indexing.
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Homotopy posets assemble into an oriented long exact sequence analogue and form layers of a categorical Postnikov tower, with Postnikov-complete (∞,∞)-categories identified as the limit of (∞,n)-categories along truncation functors.
Defines categorical homology via an Eilenberg-Steenrod analogue, proves a Dold-Kan correspondence using the Street nerve, and derives a Dold-Thom theorem for multiplicative structure and globe computations.
citing papers explorer
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The Algebra of Categorical Spectra
Constructs the tensor product of categorical spectra and uses stability phenomena to derive the cobordism hypothesis with singularities categorically from the ordinary cobordism hypothesis.
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Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories
Homotopy posets assemble into an oriented long exact sequence analogue and form layers of a categorical Postnikov tower, with Postnikov-complete (∞,∞)-categories identified as the limit of (∞,n)-categories along truncation functors.
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Homology of higher categories
Defines categorical homology via an Eilenberg-Steenrod analogue, proves a Dold-Kan correspondence using the Street nerve, and derives a Dold-Thom theorem for multiplicative structure and globe computations.