Document Type




Format of Original

25 p.

Publication Date




Source Publication

Journal of Pure and Applied Algebra

Source ISSN


Original Item ID

doi: 10.1016/0022-4049(93)00004-O


We study links between faithful group actions on a set and topologies on that set. In one direction, a group action has its invariant topologies (so we may regard members of the action to be homeomorphisms relative to those topologies); in the other direction, a topology has its preserving group actions (i.e., the subgroups of the homeomorphism group of the topology). This two-way passage allows us to discuss topological features of group actions as well as symmetry features of topologies.


Accepted version. Journal of Pure and Applied Algebra, Vol. 97, No. 3 (December 1994): 221-245. DOI. © 1994 Elsevier. Used with permission.

NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Pure and Applied Algebra, VOL 97, ISSUE 3, December 1994. DOI.