Homology of dendroidal sets (CROSBI ID 209808)
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Podaci o odgovornosti
Bašić, Matija ; Nikolaus, Thomas
engleski
Homology of dendroidal sets
We define for every dendroidal set X a chain complex and show that this assignment determines a left Quillen functor. Then we define the homology groups Hn(X) as the homology groups of this chain complex. This generalizes the homology of simplicial sets. Our main result is that the homology of X is isomorphic to the homology of the associated spectrum K(X) as discussed in previous work by the authors. Since these homology groups are sometimes computable we can identify some spectra K(X) which we could not identify before.
dendroidal sets ; homology
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Podaci o izdanju
19 (1)
2017.
111-134
objavljeno
1532-0073
1532-0081
10.4310/HHA.2017.v19.n1.a6