IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3826-d1234221.html
   My bibliography  Save this article

The Problems of Dimension Four, and Some Ramifications

Author

Listed:
  • Valentin Poénaru

    (Laboratoire de mathematiques, Université Paris-Sud XI, CEDEX, 91405 Orsay, France)

Abstract

In this short note, I present a very quick review of the peculiarities of dimension four in geometric topology. I consider, in particular, the role of geometric simple connectivity (which means handle decomposition without handles of index one) for both closed manifolds and open manifolds and for finitely presented groups, together with some of recent developments in geometric group theory.

Suggested Citation

  • Valentin Poénaru, 2023. "The Problems of Dimension Four, and Some Ramifications," Mathematics, MDPI, vol. 11(18), pages 1-6, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3826-:d:1234221
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3826/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/18/3826/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:18:p:3826-:d:1234221. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.