Timeline for When are (finite) simplicial complexes (smooth) manifolds?
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4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 28, 2011 at 16:32 | comment | added | Ben Wieland | The term "homology manifold" goes back at least to the 50s, although the term "generalized manifold" was more popular for decades. | |
| Jul 28, 2011 at 11:52 | comment | added | David E Speyer | Novik and Swartz have introduced the notion of a homology manifold, which is much closer to an actual manifold than a pseudo-manifold is, and is an algorithmically checkable condition. See math.washington.edu/~novik/publications/Gorenstein.pdf For dimension $\leq 3$, a homology manifold is a manifold; in dimension $4$, it is a manifold except for finitely many singularities which are cones on homology $3$-spheres. See their paper for lots more. | |
| Jul 28, 2011 at 3:09 | comment | added | Ben Wieland | This is usually called a pseudomanifold. It is so much weaker a condition than manifold that I must call this answer wrong. | |
| Jul 27, 2011 at 14:06 | history | answered | Mikael Vejdemo-Johansson | CC BY-SA 3.0 |