Abstract
In this thesis, we will look at the structure of two spaces associated with a topological space X, C(X) and P(X). Furthermore, from the group action of a topological group G on X, we get the induced group action of G on C(X) and P(X). We will also look at few properties for actions of G on a compact Hausdorff space X: proximality, strong proximality and extreme proximality followed by the main result to give parallel characterizations of proximality and extreme proximality.
Date of publication
Summer 7-29-2021
Document Type
Thesis
Language
english
Persistent identifier
http://hdl.handle.net/10950/3753
Committee members
Dr. Alex Bearden, Dr. Scott LaLonde, Dr. David Milan
Degree
M - Mathematics
Recommended Citation
Singh, Manpreet, "GROUP ACTIONS ON HYPERSPACES" (2021). Math Theses. Paper 11.
http://hdl.handle.net/10950/3753