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- W2964186316 abstract "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." @default.
- W2964186316 created "2019-07-30" @default.
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- W2964186316 date "2017-01-01" @default.
- W2964186316 modified "2023-09-28" @default.
- W2964186316 title "Homology of dendroidal sets" @default.
- W2964186316 doi "https://doi.org/10.4310/hha.2017.v19.n1.a6" @default.
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