19 citations · 107 across the 20 of their papers we have counts for
5 papers · 1 filter
-Bundles
Severin Bunk
Higher bundles are homotopy coherent generalisations of classical fibre bundles. They appear in numerous contexts in geometry, topology and physics. In particular, higher principal…
An -categorical localisation functor for diagrams of simplicial sets
Severin Bunk
Associated to each small category , there is a category of -shaped diagrams of simplicial sets and an -category of -shaped homotopy coherent diagrams of spaces. W…
Principal -Bundles and Smooth String Group Models
Severin Bunk
We provide a general, homotopy-theoretic definition of string group models within an -category of smooth spaces, and we present new smooth models for the string group. Here…
The -Local Homotopy Theory of Smooth Spaces
Severin Bunk
Simplicial presheaves on cartesian spaces provide a general notion of smooth spaces. There is a corresponding smooth version of the singular complex functor, which maps smooth spac…
Sheaves of Higher Categories on Generalised Spaces
Severin Bunk
We study the homotopy right Kan extension of homotopy sheaves on a category to its free cocompletion, i.e. to its category of presheaves. Any pretopology on the original category i…