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Examples of aspherical Alexandrov spaces

Michael Kapovich

Abstract

We construct examples of 3-dimensional compact aspherical Alexandrov spaces without boundary which are not topological manifolds.

Examples of aspherical Alexandrov spaces

Abstract

We construct examples of 3-dimensional compact aspherical Alexandrov spaces without boundary which are not topological manifolds.
Paper Structure (4 theorems, 3 equations)

This paper contains 4 theorems, 3 equations.

Key Result

Theorem 1

There exist 3-dimensional compact aspherical Alexandrov spaces without boundary which are not topological manifolds.

Theorems & Definitions (6)

  • Theorem 1
  • Remark 2
  • Theorem 3
  • Lemma 4
  • proof
  • Corollary 5