query: What is a non-manifold vertex?
positive_passages.docid: 26379
positive_passages.text: What is non-manifold geometry?
negative_passages.docid: 153054
negative_passages.text: Euler characteristic for non-convex polyhedra.
negative_passages.docid: 36519
negative_passages.text: Explicit example of a compact manifold of dimension $>2$ with strictly negative sectional curvature
negative_passages.docid: 9230
negative_passages.text: I'm researching about geometry non-Euclidean
negative_passages.docid: 123430
negative_passages.text: Can a topological manifold be non-connected and each component with different dimension?
negative_passages.docid: 90436
negative_passages.text: Everything moves, not just the selected vertex
negative_passages.docid: 112306
negative_passages.text: Two manifolds $X$ and $Y$ with two bijective continuous functions from $X$ to $Y$ and $Y$ to $X$, but not homeomorphic
negative_passages.docid: 67805
negative_passages.text: Why is fundamental group insufficient to classify manifolds?
negative_passages.docid: 22714
negative_passages.text: material distributed based on mesh and not on vertex
negative_passages.docid: 114987
negative_passages.text: How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
negative_passages.docid: 55263
negative_passages.text: Path connected space that is not locally connected
negative_passages.docid: 66770
negative_passages.text: Intuition for Smooth Manifolds
negative_passages.docid: 64920
negative_passages.text: Boundary Question in $\mathbb{R}^{2}$ (Manifolds)
negative_passages.docid: 113221
negative_passages.text: Vertex of a pentagon-Does the algorithm always stop?
negative_passages.docid: 155060
negative_passages.text: Confusion about definition of manifold with boundary
negative_passages.docid: 61373
negative_passages.text: A normal subgroup that is not a characteristic
negative_passages.docid: 150961
negative_passages.text: An example for a homomorphism that is not an automorphism