Reading https://www.ams.org/journals/proc/1982-084-02/S0002-9939-1982-0637181-X/ and I'm having some trouble understanding the main result.

Any ideas on how to show that X/N is simply connected?

Here X is a path connected and locally compact metric space, G is some subgroup of Homeo(X) and N is the smallest normal subgroup of cl(G).

#algebraictoplogy

So I was reading about n-dimensional pseudomanifold the other day (part of intro to Homology) and apparently (b),(c) here imply that the space is a strongly connected and non-branching complex. The book doesn't introduce these terms. What exactly do they mean here in this context? #homology #algebraictoplogy

Also tbh, it's a bit hard to realize what exactly this is apart from a topological space that satisfies some conditions. 😢