The autohomeomorphism group of connected homogeneous functionally Alexandroff spaces

Sami Lazaar; Tom Richmond; Houssem Sabri

doi:10.1080/00927872.2019.1570240

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The autohomeomorphism group of connected homogeneous functionally Alexandroff spaces

Journal article

Peer reviewed

The autohomeomorphism group of connected homogeneous functionally Alexandroff spaces

Sami Lazaar, Tom Richmond and Houssem Sabri

Communications in algebra, Vol.47(9), pp.3818-3829

02/09/2019

DOI: https://doi.org/10.1080/00927872.2019.1570240

Abstract

groups acting on regular trees

Homogeneous functionally Alexandroff spaces

infinite permutation groups

If is a map, then the family gives the closed sets of a topology P(f) on X called a functionally Alexandroff topology. If is a connected homogeneous functionally Alexandroff space, we give an algebraic characterization and some basic properties of its autohomeomorphism group .

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Title: The autohomeomorphism group of connected homogeneous functionally Alexandroff spaces
Creators - without role: Sami Lazaar - Tunis El Manar University
Tom Richmond - Western Kentucky University
Houssem Sabri - Tunis El Manar University
Publication Details: Communications in algebra, Vol.47(9), pp.3818-3829
Publisher: Taylor & Francis
Identifiers: 9929510608331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article