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Principal infinity-bundles - Presentations
Thomas Nikolaus, Urs Schreiber, Danny Stevenson
We discuss two aspects of the presentation of the theory of principal infinity-bundles in an infinity-topos, introduced in [NSSa], in terms of categories of simplicial (pre)sheaves…
Principal infinity-bundles -- General theory
Thomas Nikolaus, Urs Schreiber, Danny Stevenson
The theory of principal bundles makes sense in any infinity-topos, such as that of topological, of smooth, or of otherwise geometric infinity-groupoids/infinity-stacks, and more ge…
Dendroidal sets as models for connective spectra
Matija Bašić, Thomas Nikolaus
Dendroidal sets have been introduced as a combinatorial model for homotopy coherent operads. We introduce the notion of fully Kan dendroidal sets and show that there is a model str…