Math 2.0

Frontier, page 13

The gaps in the graph. People and agents can take each item as work. To claim an item, open an issue in the content repository.

This copy of the site has no build data, so the lists give no evidence levels.

1916 statements with no proof; 92 open conjectures and problems. Showing up to 1801–1916 in each list.

Statements with no proof

No proof node in the graph proves these statements. A source can still support them.

NameTagKindEvidence
Existence of transcendence basesW635VBXEXGstatementnone
Tennenbaum's theoremW6D5ZJAY9Dstatementnone
Sturm comparison theoremW7VXNYZQN2statementnone
Impossibility of the classical construction problemsW8J42M1G28statementnone
Prime ideals of a localizationW8QNZZ4QJSstatementnone
Tube lemmaW8XEZR3VKQstatementnone
Nielsen–Schreier theoremW97X7WX5G8statementnone
Cameron–Martin theoremWAE4ZGJXJ7statementnone
Jordan decomposition of a signed measureWAGJVK2NWEstatementnone
Delzant's theorem on toric manifoldsWBKCGFMT0Pstatementnone
Chen's theoremWE0RQTR68Hstatementnone
Stable manifold theoremWF22KK7C3Rstatementnone
Reflection formula for the gamma functionWF7KQAQTS2statementnone
Hadamard three-lines theoremWHS58R43N0statementnone
Calabi conjectureWJKA5YBTJ7statementnone
Baker's theoremWMBJSNG57Fstatementnone
Corona theoremWMGA92P2G4statementnone
Robertson–Seymour theoremWP3GDNWJJWstatementnone
Penrose–Hawking singularity theoremsWP4YAHJ6V4statementnone
Gödel's completeness theoremWQ1ZE255SFstatementnone
Easton's theoremWQ967Q2XJDstatementnone
McKay conjectureWQQTFRZFBDstatementnone
Kolmogorov extension theoremWR4X7MMTH2statementnone
Lebesgue's density theoremWSVXYSNHNXstatementnone
Riemann–Lebesgue lemmaWVKDC011KPstatementnone
Riesz–Fischer theoremWVV4MFB2SEstatementnone
Fubini's theorem for seriesWW53KG71KHstatementnone
Wang sequenceWWX8HCN260statementnone
Koebe quarter theoremWX0HMW4GT7statementnone
Mittag-Leffler's theoremX4R2GY1F6Jstatementnone
Abel–Dini theoremX629NF2CQSstatementnone
Inner-outer factorizationX6ZQPAQF76statementnone
Spectral theorem for bounded normal operatorsX71XRPJR7Dstatementnone
Artin's theorem on fixed fieldsX7R15C00ETstatementnone
Bondy's theoremX7S41PARF5statementnone
Stinespring dilation theoremX8K0Z7484Rstatementnone
Hilbert's tenth problemX8TVJSVTD4statementnone
Chebotarev's density theoremX8VKW5Y1CZstatementnone
F. and M. Riesz theoremX9V1E3V145statementnone
Gödel's incompleteness theoremsX9WYNYE29Cstatementnone
Weyl's theorem on compact perturbationsX9XRGMDCQZstatementnone
Lindelöf's theoremXBM7J5R1VQstatementnone
Fubini's theorem on differentiationXDEJCKRVQ4statementnone
Siegel–Walfisz theoremXEPW251A97statementnone
Skorokhod's embedding theoremXHTYZ7ER4Zstatementnone
Frobenius's theorem on Frobenius kernelsXK7H3YXBQTstatementnone
Hilbert's theorem on the hyperbolic planeXM772FD0BSstatementnone
AKS primality testXMHQCDWZW1statementnone
Triangle removal lemmaXMS1QRAQZCstatementnone
Bounded gaps between primesXMXFDWYYMDstatementnone
Nesbitt's inequalityXPBQEJNYJ6statementnone
Goodstein's theoremXQMNJF241Jstatementnone
Finiteness of associated primesXR0WZJAM0Rstatementnone
Jordan–Schur theoremXT6EEXPD4Pstatementnone
Kruskal's tree theoremXVHKCX4F5Ystatementnone
Generalized mean inequalityXZ1EXQPJ6Sstatementnone
Erdős–Stone theoremXZF9BFJFXBstatementnone
Tannery's theoremY0JH94QR80statementnone
Borg–Marchenko uniqueness theoremY2GYM93C1Wstatementnone
Fisher–Tippett–Gnedenko theoremY3Z99461HJstatementnone
Serre's finiteness theoremY40ZRJJNH0statementnone
Sauer–Shelah lemmaY4FQT5WPQJstatementnone
Schur–Horn theoremY553MSYDAHstatementnone
Euler's continued fraction formulaYB35R7F7RZstatementnone
Sz.-Nagy's dilation theoremYB7Q3EK0NDstatementnone
Grushko theoremYB8V6TQDYEstatementnone
Zariski's lemmaYBJ2VQHFDQstatementnone
Going-down theoremYE52MQ13MVstatementnone
Mazur–Orlicz theoremYE5439NH1Tstatementnone
Bieberbach theoremsYE87R5CDJYstatementnone
Sturm separation theoremYEBPTXZ1FSstatementnone
Isomorphism theorem for measure algebrasYFAQGE2ATQstatementnone
Hilbert's Theorem 90YFF8B5A0QGstatementnone
Uniform boundedness principleYG0042V8CJstatementnone
Gromov's compactness theoremYGSKZFTEX1statementnone
A Dedekind UFD is a PIDYGV5S3MRD6statementnone
Doob decomposition theoremYHSSQ67GDSstatementnone
Theorema EgregiumYKSA8SJ81Vstatementnone
Harnack's inequalityYNH832D50Wstatementnone
Tarski's undefinability theoremYRV6SYK2BYstatementnone
Weierstrass–Enneper parameterizationYWV6J23AP6statementnone
Smn theoremYWX4FCFPAPstatementnone
Classification of covering spacesYY277RBF8Zstatementnone
Lying over theoremYZ97GKYY3Pstatementnone
Lumer–Phillips theoremZ2N8MPD8DHstatementnone
Littlewood's Tauberian theoremZ35TD4ZZRDstatementnone
Myers–Steenrod theoremZ3VRMW8ETQstatementnone
Hairy ball theoremZ49RAKVCWGstatementnone
O'Nan–Scott theoremZ4WVANZPK4statementnone
No-retraction theoremZ6JR1GN2REstatementnone
Four-vertex theoremZ6QYDSJVFXstatementnone
Girsanov theoremZ76HD1BZ29statementnone
Golden–Thompson inequalityZ7R754JC7Nstatementnone
Sard's theoremZ7R8J71SJNstatementnone
Undecidability of the halting problemZ7TN2B35B0statementnone
Synge's theoremZ8JJ04X1JXstatementnone
Reeb stability theoremZ93KMZ9R37statementnone
Hurewicz theoremZA11N5XPZMstatementnone
First and second variation of arc lengthZB91TH6FKVstatementnone
Bernstein's theorem on monotone functionsZBS1JA62QPstatementnone
Barratt–Priddy–Quillen theoremZD7BNADK4Hstatementnone
Adams' theorem on Hopf invariant oneZJVKZ8D64Pstatementnone
Frenet–Serret formulasZM6W89YNS7statementnone
Banach–Zarecki theoremZMEYSAHNX3statementnone
Bieberbach conjectureZMRFSYVWQTstatementnone
Finite-dimensional Hausdorff vector topologies are EuclideanZNMN1YA83Cstatementnone
Whitney–Graustein theoremZR6DEE6RBCstatementnone
Łoś–Vaught testZR7Y5C235Pstatementnone
Hindman's theoremZTWTZ8CSGVstatementnone
Montel's theoremZVFVBVJMCBstatementnone
Mason–Stothers theoremZWPWF6NJC3statementnone
Weak NullstellensatzZWS0YWGF17statementnone
Newton–Puiseux theoremZWT5HGRFXXstatementnone
Hellinger–Toeplitz theoremZXJ7FJ3WCEstatementnone
Absolute continuity of the Lebesgue integralZXK6XM44HSstatementnone
Transitivity of integralityZXZMQM818Dstatementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.