4 problems
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Existence of a proper retract to an embedded tree
Let be a noncompact generalized continuum. Let be an infinite tree and let … be a proper embedding. Assume that the induced map on end spaces … is injective. Existence of a…
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Existence of a nice embedded tree
Let 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…
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Extension of baseray results from rays to trees
A tree is a locally finite, acyclic simplicial -complex, and a baseray is the ray-based object used in the results of Section; the source's preceding discussion concerns existen…
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Siebenmann's ray-choice conjecture for end sums
Let and be open, one-ended manifolds of dimension greater than . Their end sum is formed using a proper ray in each manifold, and the resulting manifold may depend on th…