Mathematics – Algebraic Topology
Scientific paper
2006-12-06
Mathematics
Algebraic Topology
24 pages, 8 figures
Scientific paper
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 construction in the second case. Using either the associahedra or the cyclohedra in place of the geometric simplices we can define the geometric realization of these objects.
No associations
LandOfFree
The cyclic bar construction on A_\infty H-spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The cyclic bar construction on A_\infty H-spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The cyclic bar construction on A_\infty H-spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-452863