3 papers
math.RA2026
Realizing orders in rational sphere product algebras with three generators
Tseleung So, Donald Stanley, Stephen Theriault +1
The realization problem asks which algebras can be realized as the cohomology of spaces. We study this problem in the context of the orders in a graded rational exterior algebra on…
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…