Sydney Vitalbo Mathematics & Computer Science
Leah Widlarz Mathematics Education
Jacob Lauerbacher Associate Professor of Mathematics
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Abstract
We work in a category of simplicial objects that allow us to accommodate a changing module structure in each dimension. In this poster, we present what the morphisms between these objects must look like, as well as how homotopies between them must behave. Among other results, we have verified that the homotopy structure defines an equivalence relation.