All Questions

What are the ten most fundamental topics in geometric group theory? This is a pedagogical question prompted by the fact that I am teaching geometric group theory to undergraduates. They are expected ...

By the Theorem of Milnor in his paper "On spaces having the homotopy type of a CW-complex", the function space $\operatorname{Hom}(X,Y)$ (with the compact-open topology) is homotopy ...

The Setting I am currently working on a project in Topological Data Analysis (TDA), where I aim to construct a density-robust spherical coordinate associated with a dataset $X$, sampled from a ...

I had asked this in math stackexchange, but got no reply. Hence, I'm asking here. [I'm no expert in (co)bordism theory, and I've been struggling with it for the past few weeks. Any good references on ...

Let $R$ be a ring and let $F$ and $G$ be sheaves of $R$-modules over a Hausdorff space $X$. Define the tensor product $F\otimes G$ as the sheafification of $U\mapsto F(U)\otimes G(U)$. (All tensor ...