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
Dr. Alex Bearden, Dr. Scott LaLonde, Dr. David Milan
M - Mathematics
Singh, Manpreet, "GROUP ACTIONS ON HYPERSPACES" (2021). Math Theses. Paper 11.