Naslov
Homology of dendroidal sets

Autori
Bašić, Matija ; Nikolaus, Thomas

Izvornik
Homology homotopy and applications (1532-0073) 19 (2017), 1; 111-134

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
dendroidal sets ; homology

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA