Small product sets in compact groups
Abstract
We show in this paper that a sub-critical pair (A,B) of sufficiently "spread-out" Borel sets in a compact and second countable group K with an abelian identity component, must reduce to a Sturmian pair in either or \-1,1\. This extends a classical result of Kneser.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.