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... A Path is a continuous function γ : [0, 1] → X . Connecting γ(0) to γ(1) in X . Self intersections are allowed (there can be s, t ∈ [0, 1] such that γ(s) = γ(t)). No self intersections ⇒ the function is injective and the path is ...
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... Then A and B are closed in X. Hence there are disjoint open subsets U and V of X containing A and B respectively. Then U ∩ Y and V ∩ Y are disjoint open subsets of Y containing A and B respectively. 5. Let X be a totally ordered set. Let ℑ be the collection of all sets of the following types: (1) Op ...
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... announced some related results concerning the ideal boundary of these reflection group examples; in particular, they have pointed out that the ideal boundary need not be a sphere (or even an ANR). It has been known since 1975 that polyhedral homology manifolds which are not PL manifolds can unexpect ...
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Surface (topology)

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