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The Interaction of Curvature and Topology

Snapshots of modern mathematics from Oberwolfach

The Interaction of Curvature and Topology

In this snapshot we will outline the mathematical notion of curvature by means of comparison geometry. We will then try to address questions as the ways in which curvature might influence the topology of a space, and vice versa.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Mathematical subjects

Geometry and Topology

Author(s)

Jan-Bernhard Kordaß

License

DOI (Digital Object Identifier)

10.14760/SNAP-2019-020-EN

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snapshots-2019-020.pdf

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snapshots: overview

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      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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