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math.AT2025
Realization of some Stanley-Reisner algebras and graph colorings
Yang Hu, Donald Stanley
It is a classical problem in algebraic topology to decide whether a given graded -algebra can be realized as the cohomology ring of a space. In this paper, we introduce…
math.AT2025
Graph colouring and Steenrod's problem for Stanley-Reisner rings
Donald Stanley, Masahiro Takeda
It is a classical problem in algebraic topology asked by Steenrod which graded rings occur as the cohomology ring of a space. In this paper, we define an algebraic version of the g…