Produktbild
Stefan (Hrsg.) Behrens

The Disc Embedding Theorem

Ebook (PDF Format)

Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category.The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as w… Mehr

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Produktdetails


Weitere Autoren: Kalmar, Boldizsar (Hrsg.) / Kim, Min Hoon (Hrsg.) / Powell, Mark (Hrsg.) / Ray, Arunima (Hrsg.)
  • ISBN: 978-0-19-257838-9
  • EAN: 9780192578389
  • Produktnummer: 36829434
  • Verlag: Oxford University Press
  • Sprache: Englisch
  • Erscheinungsjahr: 2021
  • Seitenangabe: 300 S.
  • Plattform: PDF
  • Masse: 5'977 KB
  • Abbildungen: 220

Über den Autor


Dr Stefan Behrens is an assistant professor in the Geometry and Topology group led by Prof. Dr. Stefan Bauer. His field of research is low dimensional topology, with a focus on the topology of smooth 4-manifolds.Boldizsar Kalmar was a research assistant at the Alfred Renyi Institute of Mathematics in 2005, then he got his PhD at Kyushu University in Japan in 2008. Then he did research at the Alfred Renyi Institute of Mathematics until 2017. He visited the Max Planck Institute for Mathematics in 2013. His research field is the topology of singular maps and low dimensional topology.Dr Mark Powell obtained his PhD from the University of Edinburgh under the supervision of Andrew Ranicki in 2011. After positions at Indiana University, the Max Planck Institute in Bonn, and at UQAM in Montreal, he moved to Durham University in 2017 to take up a position as Associate Professor.Dr Arunima Ray received a PhD in mathematics from Rice University, in Houston, USA in 2014 and subsequently held a postdoctoral fellowship at Brandeis University at Waltham, USA. She is currently a Lise Meitner group leader at the Max Planck Institute for Mathematics in Bonn, Germany. Her research is in low-dimensional topology, specifically the study of knots and links, and 3- and 4-manifolds.

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