Footballs and donuts in four dimensions

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Diskrete Mathematik und Grundlagen
Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik
Ingenieurwissenschaft und Technik

Autor(en)

Steven Klee

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2016-012-EN

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snapshot-2016-012-klee.pdf

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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