4 problems

Uniformly quantitative coarse Baum–Connes conjecture with coefficients. For every $k\in\mathbb{N}$, there exists $0<\varepsilon<1/4$ such that, for every $r>0$, there exists…

Quantitative coarse Baum–Connes conjecture with coefficients. For every $k\in\mathbb{N}$, there exists $0<\varepsilon<1/4$ such that, for every $r>0$, there exists $k'\geq k$ for w…

Let $A$ be a filtered $C^{\ast}$-algebra, let $X$ and $Y$ be proper metric spaces, and let $N_X$ be a locally finite net in $X$. For each $k\geq 0$, let $P_k(N_X)$ be the $k$-Rips…

Let $A$ be a filtered $C^{\ast}$-algebra, let $X$ be a proper metric space, and let $N_X$ be a locally finite net in $X$. Let $\bigsqcup_{\mathbb{N}}X_i$ denote the separated coars…