## New answers tagged simplicial-complexes

5
votes

### Does every triangulable manifold have a vertex-transitive triangulation?

This is to supplement Ian's answer and get examples in all dimensions $\ge 3$.
Let $M={\mathbb H}^n/\Gamma$ be a compact hyperbolic $n$-manifold; suppose that $f\in Homeo(M)$ is a homeomorphism of ...

5
votes

### Does every triangulable manifold have a vertex-transitive triangulation?

There exists many closed connected hyperbolic 3-manifolds $M$ with trivial symmetry group, and hence trivial mapping class group. $M$ cannot be homeomorphic to a simplicial complex $\tau$ which admits ...

9
votes

Accepted

### Abstract simplicial complexes - Reference for an elementary definition of mapping degree for simplicial maps?

I think the right generality to restrict to is the following:
Let $n$ be a positive integer, and let $X$ and $Y$ be $n$-dimensional oriented simplicial complexes, with the following properties:
Every ...

Top 50 recent answers are included

#### Related Tags

simplicial-complexes × 251at.algebraic-topology × 101

co.combinatorics × 67

gt.geometric-topology × 50

simplicial-stuff × 32

reference-request × 30

discrete-geometry × 23

homotopy-theory × 16

graph-theory × 14

manifolds × 14

convex-polytopes × 13

gn.general-topology × 12

triangulations × 12

cohomology × 11

ac.commutative-algebra × 10

mg.metric-geometry × 9

combinatorial-topology × 9

homological-algebra × 8

matroid-theory × 8

homology × 7

ag.algebraic-geometry × 6

gr.group-theory × 6

differential-topology × 6

ct.category-theory × 5

convex-geometry × 5