A relative ℎ-principle via cobordism-like categories [unknown]

Emanuele Dotto
2014 Contemporary Mathematics   unpublished
We prove an h-principle with boundary condition for a certain class of sheaves Ψ : Emb op d −→ T op. The techniques used in the proof come from the study of the homotopy type of cobordism categories, and they are of simplicial and categorical nature. Applying the main result of this paper we recover the homotopy equivalence BC k,d Ω d−1 T h(γ ⊥ k,d ) of Galatius, Madsen, Tillmann, Weiss. c 0000 (copyright holder) 2 E. DOTTO
doi:10.1090/conm/617/12287 fatcat:5qlxj7nqgfg4devgo2qbrvppe4