58
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Homology of dendroidal sets

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          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 \(H_n(X)\) 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 earlier work of the authors. Since these homology groups are sometimes computable we can identify some spectra K(X) which we could not identify before.

          Related collections

          Author and article information

          Journal
          1509.00702

          Geometry & Topology
          Geometry & Topology

          Comments

          Comment on this article