IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-4668-8_7.html

Translator’s Introduction 4

In: Papers on Group Theory and Topology

Author

Listed:
  • Max Dehn

Abstract

This famous and influential paper is a memorable introduction to topology, combinatorial group theory and noneuclidean geometry. To see Dehn weave these threads into a coherent pattern is an unforgettable demonstration of the unity of mathematics. Of course, there is a historical basis for this coherence in the work of Klein and Poincaré in the 1880’s, and the relation between surface topology and hyperbolic geometry had already been used with considerable sophistication by Poincaré [1904], but Dehn’s paper is the first, I believe, to show equal sophistication in the treatment of combinatorial group theory. In particular, it is the first in which a purely combinatorial algorithm is justified by appeal to the hyperbolic metric.

Suggested Citation

  • Max Dehn, 1987. "Translator’s Introduction 4," Springer Books, in: Papers on Group Theory and Topology, pages 127-132, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4668-8_7
    DOI: 10.1007/978-1-4612-4668-8_7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4612-4668-8_7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.