Footballs and donuts in four dimensions

Snapshots of modern mathematics from Oberwolfach

Footballs and donuts in four dimensions

In this snapshot, we explore connections between the mathematical areas of counting and geometry by studying objects called simplicial complexes. We begin by exploring many familiar objects in our three dimensional world and then discuss the ways one may generalize these ideas into higher dimensions. 

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Mathematical subjects

Discrete Mathematics and Foundations
Geometry and Topology

Connections to other fields

Computer Science
Engineering and Technology

Author(s)

Steven Klee
Senior Editor:
Carla Cederbaum
Junior Editor:
Daniel Kronberg

License

DOI (Digital Object Identifier)

10.14760/SNAP-2016-012-EN

PDF

snapshots: overview

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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