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A manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.

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When is the dual block decompositition a CW decomposition?

Given a triangulated homology manifold $X$, the dual block decomposition is defined by setting, for each simplex $\sigma$ of $X$, the block $\overline{D}(\sigma)$ to be the union of all simplices of $ …
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