3 papers
math.AT2010
An Alternative Presentation of the Symmetric-Simplicial Category
Eric R. Antokoletz
The category Fin of symmetric-simplicial operators is obtained by enlarging the category Ord of monotonic functions between the sets {0,1,...,n} to include all functions between th…
math.AT2010
On a Generalization of the Notion of Semidirect Product of Groups
Eric R. Antokoletz
We introduce an external version of the internal r-fold semidirect product of groups (SDP) of Carrasco and Cegarra. Just as for the classical external SDP, certain algebraic data a…
math.AT2010
Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Eric R. Antokoletz
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra in two ways. First, we show that the total order of the subgroups in their decompositi…