Resolving Erd\H{o}s-Ulam Monochromatic Union-Closed Family Conjectures TNREX5GDK2

URI	`m2://res/TNREX5GDK2`
Kind	preprint
Creators	Deep Bhattacharjee, Priyabrata Mandal, Ushashi Bhattacharya
Date	2026-10-02
MSC	05-XX, 11-XX
Subjects	arxiv math.CO, arxiv math.NT
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
2GXM59S3VX	statement	theorem 1.2	arxiv
3FTBV4C0PB	statement	theorem 1.1	arxiv
3JQSDBJ52D	statement	proposition 5.4	arxiv
3X0WQR05JG	statement	lemma 7.4	arxiv
Howorka	statement	theorem 6.4	arxiv
5PB4XXZ29V	statement	theorem 1.5	arxiv
Supersaturation	statement	proposition 3.2	arxiv
80JDQ3515Q	statement	theorem 1.4	arxiv
8NBMTS6SNK	statement	lemma 5.1	arxiv
The Erd\H{o}s--Ulam conjectures	statement	corollary 1.3	arxiv
B6YX0Y6SG6	statement	lemma 7.1	arxiv
Box inequality	statement	lemma 3.1	arxiv
DDHGC3EWZM	statement	lemma 7.2	arxiv
FR2P2F1P9K	definition	definition 2.1	arxiv
GQ6HX7BKC8	statement	lemma 7.3	arxiv
GR19PRJAFA	problem	problem 9.1	arxiv
Slices	statement	lemma 4.1	arxiv
KCWM6MZBS3	definition	definition 2.3	arxiv
MA4G5ZZ9KX	statement	lemma 2.2	arxiv
Gluing	statement	proposition 2.5	arxiv
van der Waerden	statement	theorem 6.3	arxiv
SC5JVTVCDQ	statement	proposition 5.2	arxiv
TWAVPZQBT5	statement	proposition 6.2	arxiv
VTBEJKFBJ5	statement	lemma 5.3	arxiv
Averaging	statement	lemma 4.2	arxiv
WV8X9XX4N6	problem	problem 9.3	arxiv
X8KSKTMTZT	statement	corollary 6.1	arxiv
Z64PJ326EF	problem	problem 9.2	arxiv
Union rule	statement	lemma 2.4	arxiv