Abstract
We summarize some of the recent works, devoted to the study of one-dimensional (pseudo)group actions and codimension one foliations. We state a conjectural alternative for such actions (generalizing the already obtained results) and describe the properties in both alternative cases. We also discuss the generalizations for holomorphic one-dimensional actions. Finally, we state some open questions that seem to be already within the reach.
Information
Published: 1 January 2017
First available in Project Euclid: 4 October 2018
zbMATH: 1385.37039
MathSciNet: MR3726705
Digital Object Identifier: 10.2969/aspm/07210059
Subjects:
Primary:
37C85
Secondary:
37E10
,
57S05
Keywords:
foliations
,
group actions
,
local discreteness
,
Markov partitions
,
pseudogroups
Rights: Copyright © 2017 Mathematical Society of Japan
