Functional boundedness of balleans

Abstract

We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant. A special attention is payed to balleans on groups.

arXiv comment14 pages

References in corpus (4)

• Metric geometry of locally compact groups
• Asymptotic topology
• Generating infinite symmetric groups
• Classifying homogeneous cellular ordinal balleans up to coarse equivalence

Cited by in corpus (1)

• On the space of ends of infinitely generated groups