2 papers
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…
math.AT2024
The space of commuting elements in an exceptional Lie group and maps between classifying spaces
Masahiro Takeda
Let be a discrete group, and let be a compact connected Lie group. denotes the null-component of the space of homomorphisms from to , and $\…