Ordinary and measurable colorings of Euclidean three-space 4SSZ4PF2P2

URI	`m2://res/4SSZ4PF2P2`
Kind	preprint
Creators	Mikhail Koshelev, Andrey Kupavskii, Vsevolod Voronov
Date	2026-10-11
MSC	05-XX
Subjects	arxiv math.CO
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Bochner's theorem	statement	theorem B.3	arxiv
6H4YR3EP1N	statement	corollary 8.1	arxiv
F\o lner criterion for a discrete group	statement	theorem theorem	arxiv
8SHHDWFQYV	statement	theorem 1.1	arxiv
Continuous observations and retained information	statement	lemma 4.1	arxiv
Weak compactness of probabilities	statement	theorem A.1	arxiv
Jointly Borel representatives	statement	lemma 6.1	arxiv
Completion of a weak coloring	statement	lemma 7.1	arxiv
Planar character-law rigidity; external assumption	statement	theorem 4.2	arxiv
Transfer to weak properness	statement	theorem 2.1	arxiv
Conditional expectation	statement	theorem A.2	arxiv
Spectral theorem for commuting translations	statement	theorem B.2	arxiv
Averaging algebraic heights	statement	lemma 5.1	arxiv
Tonelli and Fubini	statement	theorem A.3	arxiv
A separate planar consequence	statement	corollary 8.2	arxiv
T2PSFRDWDX	definition	definition 2.1	arxiv
W62WY84357	statement	corollary 1.2	arxiv
Frequency description of horizontal continuity	statement	lemma 4.3	arxiv
Haar probability	statement	theorem B.1	arxiv