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Topological Methods in Algebraic Transformation Groups pp 27–48Cite as

Homology Planes an Announcement and Survey

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Part of the book series: Progress in Mathematics ((PM,volume 80))

Abstract

We review recent advances dealing with homology planes, i.e., non singular affine acyclic surfaces over the complex numbers C. Here acyclic means vanishing integral reduced homology. From a topological point of view these are the simplest affine surfaces.

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References

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, D-3400, Göttingen, Germany

    Tammo Tom Dieck

  2. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    Ted Petrie

Authors
  1. Tammo Tom Dieck
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  2. Ted Petrie
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051, Basel, Switzerland

    Hanspeter Kraft

  2. Department of Mathematics, Rutgers University, New Brunswick, New Jersey, 07102, USA

    Ted Petrie

  3. Department of Mathematics, Brandeis University, Waltham, Massachusetts, 02254-9110, USA

    Gerald W. Schwarz

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© 1989 Birkhäuser Boston, Inc.

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Dieck, T.T., Petrie, T. (1989). Homology Planes an Announcement and Survey. In: Kraft, H., Petrie, T., Schwarz, G.W. (eds) Topological Methods in Algebraic Transformation Groups. Progress in Mathematics, vol 80. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3702-0_4

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  • DOI: https://doi.org/10.1007/978-1-4612-3702-0_4

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8219-8

  • Online ISBN: 978-1-4612-3702-0

  • eBook Packages: Springer Book Archive

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