Math 2.0

Frontier, page 10

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 1351–1500 in each list.

Statements with no proof

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

NameTagKindEvidence
Erdős–Kac theoremBY5WRND0J1statementnone
Dominated convergence theoremBYNV84PF86statementnone
Grönwall area theoremBYZDAZNHP4statementnone
Mordell's theoremBZHGKN6Q3Kstatementnone
Rado's theoremBZSGRCTFH4statementnone
Vinogradov's theoremC01Z9QRGZYstatementnone
Borel–Ritt theoremC2FFQAPJ9Fstatementnone
Vitali convergence theoremC3CKZAZ57Zstatementnone
Landau–Kolmogorov inequalityC3DD4Z4MD1statementnone
Localization of a Noetherian ring is NoetherianC618HAK3X6statementnone
Akizuki–Hopkins–Levitzki theoremC7X657TF19statementnone
Hochster's theorem on spectral spacesC82AXZK2BSstatementnone
Radó's theorem on triangulation of surfacesC9X05EDS5Fstatementnone
Steinitz's theorem on algebraically closed fieldsCAEHMSX9RTstatementnone
Witt's theoremCCB8VNQCV0statementnone
Raabe's testCD6CAQ6XDNstatementnone
Reduction to diagonal form by transvectionsCFB41AZX87statementnone
Continuous mapping theoremCFRN0G7GDBstatementnone
Jacobi's four-square theoremCG17WSS64Wstatementnone
Hadamard's inequalityCGDN1X32NQstatementnone
Courant–Fischer min-max theoremCJK2HS2508statementnone
Gleason's theorem on projective compact spacesCPZKZ2AV0Gstatementnone
Direct summand conjectureCQJ1FPKKHTstatementnone
Modularity theoremCS1NVJBZMHstatementnone
Non-vanishing of the zeta function on the line Re s = 1CXES7915R7statementnone
Pólya's theorem on integer-valued entire functionsCYT8JNNWXHstatementnone
LYM inequalityD1GQNNRDDNstatementnone
Adams–Novikov spectral sequenceD34QHZVPESstatementnone
Prokhorov's theoremD6FMEQYA76statementnone
EigendecompositionD7E9SZ4E82statementnone
Puppe sequenceD7K7YB52MMstatementnone
Hilbert's NullstellensatzD85VZWS9QKstatementnone
Ulm's theoremD8A4VEQR98statementnone
Kolmogorov's inequalityD9B4HE4B4Qstatementnone
Ahlfors–Bers theoremD9B92SQ2GFstatementnone
Hadamard gap theoremDA8M8VZZHCstatementnone
Karamata's Tauberian theoremDBEGF38V9Hstatementnone
Optional stopping theoremDC9HZT2HVJstatementnone
Marchenko–Pastur lawDCK63WTY5Estatementnone
Schauder fixed-point theoremDCPFVVZZ54statementnone
Adams spectral sequenceDD4D0EKX74statementnone
Tameness theoremDE1Z7R9T05statementnone
Segal conjectureDE29ZC399Zstatementnone
Bochner's formulaDF7KYMAGTCstatementnone
Yau–Tian–Donaldson conjectureDHYSPSYSCBstatementnone
Nehari's theorem on univalenceDN98H15VZFstatementnone
Euler's sine productDQEHD56649statementnone
Margulis superrigidity theoremDSKV65NHZZstatementnone
Compactness via ultrafiltersDT5PH9QVQ7statementnone
Stone's theorem on one-parameter unitary groupsDVGQB92HPJstatementnone
Riesz–Markov–Kakutani representation theoremDWFPDF8XTBstatementnone
Fenichel's theoremDZXTK64M6Xstatementnone
Long exact sequence of homotopy groupsE0RV5D1GQ0statementnone
Monstrous moonshineE0Y7Y75T6Cstatementnone
s-cobordism theoremE1E5ABP89Wstatementnone
Craig interpolation theoremE2CBFNAVZYstatementnone
Completeness of the real numbersE3CPZNJZNGstatementnone
Menger's theoremE6GYGZDBS7statementnone
Glivenko–Cantelli theoremE7B78X780Xstatementnone
Roth's theorem on arithmetic progressionsE7H8NWXESFstatementnone
Characterizations of discrete valuation ringsE7XJ3X8RG4statementnone
Gordon–Luecke theoremEBASBW5TYSstatementnone
Plünnecke–Ruzsa inequalityEBEVWSRD2Estatementnone
Markov brothers' inequalityEHA5MF9VKEstatementnone
Hermite normal formEHE26PR17Kstatementnone
Eckmann–Hilton argumentEJJYCPWHPAstatementnone
Cohen's independence of CHEMGBZ46GCDstatementnone
Cubic reciprocityEMVECB93EQstatementnone
Choi's theorem on completely positive mapsEQG2K8ZFM4statementnone
Morse lemmaERSD8D4HWXstatementnone
Gauss–Bonnet theoremESGEHKPD60statementnone
Szemerédi regularity lemmaETMAPNQY7Tstatementnone
Duistermaat–Heckman formulaEWJK7NY6ZBstatementnone
Cauchy formula for repeated integrationEYXG11V76Estatementnone
Fenchel's theoremF0BJ2BHSZGstatementnone
Bernstein's inequality for polynomialsF0YGC89S9Rstatementnone
Kleene's recursion theoremF3Z30M606Hstatementnone
Cauchy–Kovalevskaya theorem for ODEsF4VMHVWK41statementnone
Cauchy–Davenport theoremF7K7XFACSGstatementnone
Borel–Carathéodory theoremF8XD8CDB0Hstatementnone
Finiteness of the class numberF99RM1T02Cstatementnone
Compactness of the spectrumFA5V5KRWDFstatementnone
Cubic formulaFB6J5WAT5Vstatementnone
Vitali covering lemmaFCA0J1X07Kstatementnone
Nikodym convergence theoremFCAA02SN0Estatementnone
Sylow theoremsFESTJ0K9TXstatementnone
Banach–Tarski paradoxFH250K068Zstatementnone
Dehn's lemmaFH5WSPD79Fstatementnone
Erdős–Ko–Rado theoremFJ92Q6VTJHstatementnone
Prime avoidance lemmaFMP5AWG6PRstatementnone
Hahn–Kolmogorov theoremFN2WRRF6V9statementnone
Myers's theoremFPMJEX3DSJstatementnone
Nishida nilpotence theoremFQ048Z65F9statementnone
Restricted Burnside problemFQZJKY2G5Qstatementnone
Kunz's theoremFRCY5BQF6Nstatementnone
Splitting principleFRTE50B74Rstatementnone
Quantifier elimination for real closed fieldsFSJ9NGRRPAstatementnone
Krull–Akizuki theoremFSXA3CF365statementnone
Gage–Hamilton–Grayson theoremFVGW1381TZstatementnone
Karamata's inequalityFWKSHEJ9RPstatementnone
Rauch comparison theoremFX40F4A63Vstatementnone
Bipolar theoremFX5PWKCMBQstatementnone
Frostman lemmaFYNFT90NT2statementnone
Phragmén–Lindelöf principleFYR6V2NH6Cstatementnone
Lindström's theoremFYZ3CJGZYVstatementnone
Prime decomposition of 3-manifoldsFZH5T5340Qstatementnone
Cellular approximation theoremG003WR6SMXstatementnone
Wirtinger's inequality for functionsG0J13SXYTCstatementnone
James's theoremG1VWNQSAK5statementnone
Monotone convergence theoremG2S6H789RGstatementnone
Nagell–Lutz theoremG38B7E4ESWstatementnone
Hilbert's inequalityG4R4MWWP3Cstatementnone
Kruskal–Katona theoremG6WNYB0WMYstatementnone
Krasner's lemmaG8PGN0WQHWstatementnone
Tubular neighborhood theoremGCBY80CSC6statementnone
Ostrowski's theoremGCQ23XT6VDstatementnone
Slutsky's theoremGCV10B5HESstatementnone
Fabry gap theoremGE0HX2KMMZstatementnone
Tanaka's formulaGEM0ERJ5ZBstatementnone
Kramers–Kronig relationsGFS95PZ5YKstatementnone
Chern–Gauss–Bonnet theoremGG6NYPKMHXstatementnone
Talagrand's concentration inequalityGGEAGW4RRVstatementnone
Nagata's criterion for factorialityGGEMJF449Dstatementnone
Going-up theoremGHKYR5PBQCstatementnone
Representability of cohomology by Eilenberg–MacLane spacesGPDPYHM3REstatementnone
Circle packing theoremGR1DDT1B6Bstatementnone
Weyl's criterionGS4RC7A7DJstatementnone
Adem relationsGS8SCGYPX7statementnone
Dilworth's theoremGT224XDA4Estatementnone
Second main theorem of Nevanlinna theoryGWYE6745JKstatementnone
Stallings theorem about ends of groupsGWZN3EKEWDstatementnone
Closed graph theoremGXM8BX8YM7statementnone
Virtually Haken conjectureGYB411M966statementnone
Lusin's theoremGZMAH9W2SKstatementnone
Sobolev embedding theoremGZTT6FT18Gstatementnone
Faltings's theoremH0DB07WM20statementnone
Focal subgroup theoremH1BSG0J5G1statementnone
Jacobian criterionH1CZXMZ6HEstatementnone
Layer cake representationH78RXJC1K1statementnone
Green–Tao theoremH8BAHWSEMCstatementnone
Dvoretzky–Rogers theoremH924SAD12Gstatementnone
Berry–Esseen theoremH9KTH7B380statementnone
Annulus theoremHAT8HG0RCKstatementnone
Gromov's systolic inequalityHB2K72PSZ6statementnone
Urysohn metrization theoremHBFHDH4EJXstatementnone
Continuity of measure from below and aboveHBHNB63J7Rstatementnone
Capelli's theoremHC5NDQ3DTSstatementnone
Zariski's main theoremHCD6W2XK6Wstatementnone
Structure theorem for Artinian ringsHE7MP4HP6Qstatementnone
Lie product formulaHK3BRMK912statementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.