3 problems

Let $X$ be a noncompact generalized continuum. Let $T$ be an infinite tree and let … be a proper embedding. Assume that the induced map on end spaces … is injective. Existence of a…

Let $X$ be a noncompact, metrizable generalized continuum. An infinite rooted tree is an infinite tree with a distinguished root, and a proper embedding is a topological embedding…

Halin's conjecture. Every graph contains ray graphs for all its ends.