IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i14p1627-d591827.html
   My bibliography  Save this article

Free Cells in Hyperspaces of Graphs

Author

Listed:
  • José Ángel Juárez Morales

    (Faculty of Mathematics, Autonomous University of Guerrero, Carlos E. Adame 54, Col. La Garita, Acapulco 39650, Guerrero, Mexico)

  • Gerardo Reyna Hernández

    (Faculty of Mathematics, Autonomous University of Guerrero, Carlos E. Adame 54, Col. La Garita, Acapulco 39650, Guerrero, Mexico)

  • Jesús Romero Valencia

    (Faculty of Mathematics, Autonomous University of Guerrero, Sauce 19, La Cima, Chilpancingo de los Bravo 39086, Guerrero, Mexico)

  • Omar Rosario Cayetano

    (Faculty of Mathematics, Autonomous University of Guerrero, Carlos E. Adame 54, Col. La Garita, Acapulco 39650, Guerrero, Mexico)

Abstract

Often for understanding a structure, other closely related structures with the former are associated. An example of this is the study of hyperspaces. In this paper, we give necessary and sufficient conditions for the existence of finitely-dimensional maximal free cells in the hyperspace C ( G ) of a dendrite G ; then, we give necessary and sufficient conditions so that the aforementioned result can be applied when G is a dendroid. Furthermore, we prove that the arc is the unique arcwise connected, compact, and metric space X for which the anchored hyperspace C p ( X ) is an arc for some p ∈ X .

Suggested Citation

  • José Ángel Juárez Morales & Gerardo Reyna Hernández & Jesús Romero Valencia & Omar Rosario Cayetano, 2021. "Free Cells in Hyperspaces of Graphs," Mathematics, MDPI, vol. 9(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1627-:d:591827
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/14/1627/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/14/1627/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    hyperspace; graph; dendroid; dendrite;
    All these 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:gam:jmathe:v:9:y:2021:i:14:p:1627-:d:591827. 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.