An h-principle with boundary condition
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An h-principle with boundary condition. / Dotto, Emanuele.
2010, Preprint.Publikation: Andet › Udgivelser på nettet - Net-publikation › Forskning
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TY - ICOMM
T1 - An h-principle with boundary condition
AU - Dotto, Emanuele
PY - 2010/12/21
Y1 - 2010/12/21
N2 - We prove an h-principle with boundary condition for a certain class of topological spaces valued sheaves. The techniques used in the proof come from the study of the homotopy type of the cobordism categories, and they are of simplicial and categorical nature. Applying the main result of this paper to a certain sheaf we find another proof of the homotopy equivalence between the classifying space of a cobordism category and a loop space of the Thom space of the complement of the tautological bundle over the Grassmannians.
AB - We prove an h-principle with boundary condition for a certain class of topological spaces valued sheaves. The techniques used in the proof come from the study of the homotopy type of the cobordism categories, and they are of simplicial and categorical nature. Applying the main result of this paper to a certain sheaf we find another proof of the homotopy equivalence between the classifying space of a cobordism category and a loop space of the Thom space of the complement of the tautological bundle over the Grassmannians.
M3 - Net publication - Internet publication
ER -
ID: 32901231