We survey two recent developments in the topic of three-dimensional Alexandrov spaces: the topological classification of closed collapsed threedimensional Alexandrov spaces and the geometrization of sufficiently collapsed closed three-dimensional Alexandrov spaces
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
We prove that the Euler characteristic of a collapsing Alexandrov space is equal to the sum of the p...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusi...
The purpose of this paper is to completely characterize the topology of three-dimensional Riemannian...
Abstract. We will simplify earlier proofs of Perelman’s col-lapsing theorem for 3-manifolds given by...
In this thesis we study the geometry and topology of Riemannian 3-orbifolds which are locally volume...
The idea is to demonstrate the beauty and power of Alexandrov geometry by reaching interesting appli...
In this thesis we study the geometry and topology of Riemannian 3-orbifolds which are locally volume...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
A protagonist here is a new-type invariant for type II degenerations of K3 surfaces, which is explic...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
We prove that the Euler characteristic of a collapsing Alexandrov space is equal to the sum of the p...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusi...
The purpose of this paper is to completely characterize the topology of three-dimensional Riemannian...
Abstract. We will simplify earlier proofs of Perelman’s col-lapsing theorem for 3-manifolds given by...
In this thesis we study the geometry and topology of Riemannian 3-orbifolds which are locally volume...
The idea is to demonstrate the beauty and power of Alexandrov geometry by reaching interesting appli...
In this thesis we study the geometry and topology of Riemannian 3-orbifolds which are locally volume...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
A protagonist here is a new-type invariant for type II degenerations of K3 surfaces, which is explic...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
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