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Results tagged with at.algebraic-topology
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user 22608
Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
Labeling a triangulated sphere
Let me point out that this also admits a purely combinatorial proof. Consider your triangulated $S^n$ as the boundary of a triangulated ball $B^{n+1}$ (for example, but not necessarily, cone your tria …
- 1,502
3
votes
Symmetries and faces of the associahedron
I have just seen this question, while looking for something else. The answer to 1 is indeed "no", and an explicit proof appears in Lemma 2.2 of Ceballos, Santos, and Ziegler - Many non-equivalent real …
- 1,502
3
votes
Accepted
Dehn-Sommerville relations for $\Delta$-complexes
I think the answer is yes and the following is a sketch of proof:
The second barycentric subdivision of a $\Delta$-complex is a triangulation.
The f-vector of a $\Delta$-complex and of its barycentr …
- 1,502
4
votes
Accepted
Cyclic polytopes whose boundary is a flag complex
The answer is "never" (except in the obvious case $d=2$, $n\ge 4$).
$C(n,d)$ is neighborly, meaning that every $d/2$ or less vertices define a simplex. In particular, for $d\ge 4$ its graph is comple …
- 1,502