2 problems

Let $M$ be a smooth manifold. Let ${\mathcal{C}}_k(M)$ be the vector space of signed measures on $C^0(\Delta^k,M)$ with compact support and finite total variation, with boundary in…

Let $(X,W)$ be a CW-pair. The pair is good if $X$ is countable, both $X$ and $W$ are connected, the map $pi_j(W)\to\pi_j(X)$ induced by $W\hookrightarrow X$ is injective for $j=1$,…