We show that all PL manifolds of dimension ≥3 have spines similar to Bing’s house with two rooms. Beyond this we explore approximation rigidity and an h-principle
We answer two questions of Beardon and Minda which arose from their study of the conformal symmetrie...
In general, geometric properties of a manifold are not determined by topological invariants of this ...
For every integer $g\ge 2$ we construct 3-dimensional genus-$g$ 1-handlebodies smoothly embedded in ...
Every 2-dimensional spine of an aspherical 3-manifold has the nonpositive towers property, but every...
AbstractLet K2 be the geometric realization of {a: a3 = 1}. Then K2 is a 2-dimensional spine of a 3-...
AbstractIf M is a compact PL manifold with boundary containing a subpolyhedron K in its interior, th...
A recent paper of Levine-Lidman gives examples of simply connected 4-manifolds $X$, homotopy equival...
AbstractLet Wm be an open, connected, m-dimensional PL manifold with a single end, denoted by ∞. In ...
n all dimensions n≥4 we construct explicit non-separating, locally flat, PL immersions of Sn−1↬Sn. I...
One of the main goals in topology is the classification of manifolds up to some equivalence relation...
For any open hyperbolic Riemann surface $X$, the Bergman kernel $K$, the logarithmic capacity $c_{\b...
International audienceTo a hyperbolic manifold one can associate a canonical projective structure an...
Recently, computers are used to settle or confirm lengthy and difficult mathematical theorems. In fa...
AbstractWe seek local criteria for determining when a mapping ƒ between (2k+1)-dimensional manifolds...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
We answer two questions of Beardon and Minda which arose from their study of the conformal symmetrie...
In general, geometric properties of a manifold are not determined by topological invariants of this ...
For every integer $g\ge 2$ we construct 3-dimensional genus-$g$ 1-handlebodies smoothly embedded in ...
Every 2-dimensional spine of an aspherical 3-manifold has the nonpositive towers property, but every...
AbstractLet K2 be the geometric realization of {a: a3 = 1}. Then K2 is a 2-dimensional spine of a 3-...
AbstractIf M is a compact PL manifold with boundary containing a subpolyhedron K in its interior, th...
A recent paper of Levine-Lidman gives examples of simply connected 4-manifolds $X$, homotopy equival...
AbstractLet Wm be an open, connected, m-dimensional PL manifold with a single end, denoted by ∞. In ...
n all dimensions n≥4 we construct explicit non-separating, locally flat, PL immersions of Sn−1↬Sn. I...
One of the main goals in topology is the classification of manifolds up to some equivalence relation...
For any open hyperbolic Riemann surface $X$, the Bergman kernel $K$, the logarithmic capacity $c_{\b...
International audienceTo a hyperbolic manifold one can associate a canonical projective structure an...
Recently, computers are used to settle or confirm lengthy and difficult mathematical theorems. In fa...
AbstractWe seek local criteria for determining when a mapping ƒ between (2k+1)-dimensional manifolds...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
We answer two questions of Beardon and Minda which arose from their study of the conformal symmetrie...
In general, geometric properties of a manifold are not determined by topological invariants of this ...
For every integer $g\ge 2$ we construct 3-dimensional genus-$g$ 1-handlebodies smoothly embedded in ...