Corpus ID: 118260235

The cyclic bar construction on A_\infty H-spaces

@inproceedings{Angeltveit2006TheCB,
  title={The cyclic bar construction on A_\infty H-spaces},
  author={Vigleik Angeltveit},
  year={2006}
}
  • Vigleik Angeltveit
  • Published 2006
  • Mathematics
  • We set up a general framework for enriching a subcategory of the category of noncommutative sets over a category C using products of the objects of a non-\Sigma operad P in \C. By viewing the simplicial category as a subcategory of the category of noncommutative sets in two different ways, we obtain two generalizations of simplicial objects. For the operad given by the Stasheff associahedra we obtain a model for the 2-sided bar construction in the first case and the cyclic bar and cobar… CONTINUE READING

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