The Reeb Transform ZJ6VQCRDVR

URI	`m2://res/ZJ6VQCRDVR`
Kind	preprint
Creators	Erin Chambers, Shankha Shubhra Mukherjee, Katharine Turner
Date	2026-10-02
Subjects	arxiv cs.CG, arxiv math.AT
Scope	border

Expressions

Date	2026-10-02
Ids	arXiv 2610.03126

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

Item	Kind	Where	Source
14D9JX18RT	statement	theorem 10	arxiv
1ZEP985TM6	definition	definition 8	arxiv
23W8YHBHNR	statement	proposition 4	arxiv
2E7A31QJ46	statement	proposition 2	arxiv
Functional distortion distance	definition	definition 15	arxiv
Equivalence under the Reeb Transform	definition	definition 16	arxiv
4YGRZ26SYY	statement	theorem 3	arxiv
Interior and exterior regions	definition	definition 18	arxiv
Level Sets	definition	definition 10	arxiv
Cylindrical definable cell decomposition	definition	definition 3	arxiv
$C^k$ cell decomposition	statement	theorem 1	arxiv
Definable function	definition	definition 2	arxiv
ANNA31G26C	statement	lemma 2	arxiv
B243ZW6WT5	statement	lemma 1	arxiv
Isomorphism of Reeb graphs	definition	definition 13	arxiv
G63JP1MHA5	definition	definition 6	arxiv
Compatible decompositions	definition	definition 4	arxiv
HPCXNQ0NKM	statement	lemma 3	arxiv
KTE4VA38CR	statement	proposition 8	arxiv
Directional stability of Reeb graphs	statement	proposition 6	arxiv
MH8Q310T9C	definition	definition 7	arxiv
$C^k$ decompositions	definition	definition 5	arxiv
Reeb Transform	definition	definition 14	arxiv
NF3Y6CXPDZ	statement	lemma 5	arxiv
QNVEGSJWB6	definition	definition 9	arxiv
QTZRCF5ATG	statement	lemma 4	arxiv
SAZHJZNNRY	statement	corollary 9	arxiv
Reeb graph	definition	definition 12	arxiv
XVPD3QWBK8	statement	corollary 5	arxiv
o‑minimal Structure	definition	definition 1	arxiv
Reeb quotient space	definition	definition 11	arxiv
Collapsing direction	definition	definition 17	arxiv
Directional stability of the Reeb Transform	statement	corollary 7	arxiv