Fat Delta 2: Functorial Subgroups of Topological Abelian Groups

Authors

Dikran Dikranjan, Universita di Udine
Wayne Lewis, University of Hawaii
Peter Loth, Sacred Heart UniversityFollow
Adolf Mader, University of Hawaii

Document Type

Article

Publication Date

2023

Abstract

In the predecessor [16] of this paper the canonical subgroup (Fat Delta) ∆(G) of a compact abelian group G was studied. It is the sum of all closed disconnected subgroups of G and it appeared before in the literature (see [28]) as td(G), defined for arbitrary topological groups and motivated by completely different considerations. We introduce and compare further functorial subgroups of general topological groups and study their relationships with ∆(G) and td(G).

Comments

E-Published November 23, 2022

Recommended Citation

Dikranjan, D., Lewis, W., Loth, P. & Mader, A. (2023). Fat delta 2: Functorial subgroups of topological abelian groups. Topological Proceedings, 61, 269-304.