Add to ORKGWe prove that the Euler characteristic of a collapsing Alexandrov space is equal to the sum of the products of the Euler characteristics with compact support of the strata of the limit space and the Euler characteristics of the fibers over the strata. This was conjectured by Semyon Alesker.Comment: Added Remarks 2.7, 3.1, 3.
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.The second main result identif...
Abstract. In this paper, we study the topology of topologically regular 4-dimensional open non-negat...
Abstract. We will simplify earlier proofs of Perelman’s col-lapsing theorem for 3-manifolds given by...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
We survey two recent developments in the topic of three-dimensional Alexandrov spaces: the topologic...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
We give a diagrammatic summary of the connections between various theorems and conjectures about the...
The purpose of this paper is to completely characterize the topology of three-dimensional Riemannian...
We give a diagrammatic summary of the connections between various theorems and conjectures about the...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusi...
1. Introduction. An Alexandrov space X with curvature bounded below is a length space with the prope...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.The second main result identif...
Examples show that Riemannian manifolds with almost-Euclidean lower bounds on scalar curvature and P...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.The second main result identif...
Abstract. In this paper, we study the topology of topologically regular 4-dimensional open non-negat...
Abstract. We will simplify earlier proofs of Perelman’s col-lapsing theorem for 3-manifolds given by...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
We survey two recent developments in the topic of three-dimensional Alexandrov spaces: the topologic...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
We give a diagrammatic summary of the connections between various theorems and conjectures about the...
The purpose of this paper is to completely characterize the topology of three-dimensional Riemannian...
We give a diagrammatic summary of the connections between various theorems and conjectures about the...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusi...
1. Introduction. An Alexandrov space X with curvature bounded below is a length space with the prope...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.The second main result identif...
Examples show that Riemannian manifolds with almost-Euclidean lower bounds on scalar curvature and P...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.The second main result identif...
Abstract. In this paper, we study the topology of topologically regular 4-dimensional open non-negat...
Abstract. We will simplify earlier proofs of Perelman’s col-lapsing theorem for 3-manifolds given by...