Title: Multi-Dimensional Cohomological Phenomena in the Lower
Multiparametric Model
Abstract: In the past two decades, extensive research has been conducted on the (co)homology of various models of random simplicial complexes.
So far, it has always been examined merely as a list of groups. This paper expands upon this by describing both the ring structure and the Steenrod-algebra structure of the cohomology of the lower multiparametric model.
We prove that the ring structure is always a.a.s trivial, while, for
certain parameters, the Steenrod-algebra a.a.s acts non-trivially.
This reveals that complex multi-dimensional topological structures
appear as subcomplexes of this model.