Title

Balanced and Functionally Balanced P-Groups

Author(s)

Menachem Shlossberg, University of UdineFollow

Document Type

Topology + Algebra and Analysis

Publication Date

6-2017

Publication Source

32nd Summer Conference on Topology and Its Applications

Abstract

In relation to Itzkowitz's problem, we show that a c-bounded P-group is balanced if and only if it is functionally balanced. We prove that for an arbitrary P-group, being functionally balanced is equivalent to being strongly functionally balanced. A special focus is given to the uniform free topological group defined over a uniform P-space. In particular, we show that this group is (functionally) balanced precisely when its subsets B_n, consisting of words of length at most n, are all (resp., functionally) balanced.

Comments

This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

Technological limitations may prevent some mathematical symbols and functions from displaying correctly in this record’s metadata fields. Please refer to the attached PDF for the correct display.

Copyright

Copyright © 2017, the Author

eCommons Citation

Shlossberg, Menachem, "Balanced and Functionally Balanced P-Groups" (2017). Summer Conference on Topology and Its Applications. 43.
https://ecommons.udayton.edu/topology_conf/43