Math 2.0

Frontier, page 12

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 1651–1800 in each list.

Statements with no proof

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

NameTagKindEvidence
Hahn–Mazurkiewicz theoremQ5QFYKD004statementnone
Property P conjectureQ630X0VHAEstatementnone
Spectral mapping theorem for polynomialsQ71WX8HFYTstatementnone
Surgery exact sequenceQ7C480HQ9Jstatementnone
Lévy–Khintchine representationQ82B4H4Z4Jstatementnone
Carathéodory's extension theoremQ8EXG7EKYWstatementnone
Banach–Stone theoremQ8FERXTZ8Bstatementnone
Gödel's consistency of CH and ACQ9176JRJ5Mstatementnone
Murray–von Neumann classification of factorsQAWDC7SWKCstatementnone
Hahn–Banach theoremQB5AE3VYZZstatementnone
Banach–Mazur theoremQC5MB5WM8Fstatementnone
Hopf–Rinow theoremQCCD2JNFBTstatementnone
Lidskii's theoremQD23PJR6RPstatementnone
Frobenius theorem on real division algebrasQDJ7PQE9SWstatementnone
Rademacher's theoremQEY26RT19Rstatementnone
Blakers–Massey theoremQF764XKBA3statementnone
Bohr–Mollerup theoremQFF87AXWN2statementnone
Borsuk–Ulam theoremQHJ0GBQE2Estatementnone
Gysin sequenceQJSPWM9F9Pstatementnone
First main theorem of Nevanlinna theoryQJWCFAK4AKstatementnone
Coarea formulaQK55379SXWstatementnone
Moore–Osgood theoremQN2210XCSTstatementnone
Gentzen's consistency proofQPV0HNP22Sstatementnone
Schreier refinement theoremQQAWHC9X60statementnone
Cheeger–Gromoll splitting theoremQV75TT6131statementnone
Sanov's theoremQWEF2WAXJMstatementnone
Nonemptiness of the spectrumQWQC5SV0SDstatementnone
Solvability of x^n - aQWXD1Z9V8Fstatementnone
Tits alternativeQYXGVES1XMstatementnone
Hilbert's syzygy theoremR0DSZPRG6Tstatementnone
Marcinkiewicz interpolation theoremR1PHMVBJ9Jstatementnone
Picard's little theoremR2PHM118NGstatementnone
Liouville's theorems on elliptic functionsR32HEEN55Kstatementnone
Bruck–Ryser–Chowla theoremR43K0GTTDSstatementnone
Sturm's theoremR44CV0KD9Tstatementnone
Euler's pentagonal number theoremR587SR9GNVstatementnone
Ruzsa triangle inequalityR7E5A4W6FJstatementnone
Hasse–Minkowski theoremR8HCWA981Sstatementnone
Frobenius theorem on Cesàro and Abel summabilityR8MZAZ6GCRstatementnone
Thue–Siegel–Roth theoremR9JZA3G2NXstatementnone
Friedberg–Muchnik theoremRA358M9QCNstatementnone
Weyl's inequalityRACSNQXDQVstatementnone
Dugundji extension theoremRBDJBK63HXstatementnone
Gromov's non-squeezing theoremRDX55HQ3XTstatementnone
Fundamental identity for ramification and inertiaREJDQ6BTQVstatementnone
Bing metrization theoremRGCZ2P9QRMstatementnone
Whitney extension theoremRH2EZGYGAWstatementnone
Beth definability theoremRJBDSA2ETPstatementnone
Jensen's covering theoremRJE1W5NRE3statementnone
Mackey–Arens theoremRKKWS7CDNFstatementnone
Gelfond–Schneider theoremRN58Z2NWACstatementnone
Sokhotski–Plemelj theoremRNB6QX0GCAstatementnone
Law of the iterated logarithmRQJC67S0QJstatementnone
Mazur's torsion theoremRQS6YHAR8Nstatementnone
Gromov's theorem on groups of polynomial growthRSBFHHPTWXstatementnone
Krein–Milman theoremRSRAY0Q68Sstatementnone
Apéry's theoremRT5MJT6CTBstatementnone
Serre's modularity conjectureRWXXNZNQYJstatementnone
Fundamental theorem of calculus for Lebesgue integralsRX7JSHMP8Zstatementnone
Kurosh subgroup theoremRY8K5RQJSRstatementnone
Euler's theorem on normal curvaturesRYB4DQTAK0statementnone
An infinite product converges iff its series of logarithms convergesRZKC8B00HZstatementnone
Cramér's theoremRZZK51CXMNstatementnone
Seifert–van Kampen theoremS17DY98VF2statementnone
Erdős–Rado theoremS1BHE358VXstatementnone
Kirchhoff's matrix tree theoremS1PG1N2VEXstatementnone
Minlos theoremS2J9CBPJ0Vstatementnone
Hopf's formulaS31M1ZYJRKstatementnone
Zero divisors are the union of associated primesS37DQGW3TZstatementnone
Silverman–Toeplitz theoremS4J7SRPXMZstatementnone
Unique factorization of ideals in a Dedekind domainS6PHT75MEKstatementnone
Hardy's inequalityS7A8YFGG8Xstatementnone
Chebyshev's sum inequalityS8X2N1DW8Pstatementnone
Fatou's lemmaS95TR54TCGstatementnone
Clifford theorySAH4PD2J9Tstatementnone
Lebesgue differentiation theoremSAZ0ESVBVPstatementnone
Denjoy–Carleman–Ahlfors theoremSB55PWPRH2statementnone
Weyl–von Neumann theoremSB8PFJCJBCstatementnone
Shafarevich's theorem on solvable Galois groupsSDV692Z915statementnone
Excision theoremSGHMSBHHA0statementnone
Cayley–Hamilton theorem for modulesSH3R5VTMZHstatementnone
Krull's principal ideal theoremSJZW2HN1SCstatementnone
Lefschetz principleSKTMN14X5Pstatementnone
Whitney immersion theoremSNZTKKN3GPstatementnone
Auslander–Buchsbaum formulaSQB74J5E8Qstatementnone
Boolean prime ideal theoremSTPBXBKSZPstatementnone
Moise's theoremSV0816DJP9statementnone
Burkholder–Davis–Gundy inequalitySWHVQD9YEBstatementnone
Doob–Meyer decomposition theoremSX7ZPP72EMstatementnone
Lusternik–Schnirelmann theoremSYVXQQK57Vstatementnone
Kantorovich–Rubinstein dualitySYXSZD8EFKstatementnone
Dimension of a polynomial ringT35XFF5AY3statementnone
Sylvester–Gallai theoremT3GGJN70P2statementnone
Reidemeister's theoremT3HAGWYKK7statementnone
Nerve theoremT4MTXNJJ3Qstatementnone
Gelfand's spectral radius formulaT4RFYT8HDNstatementnone
Gårding's inequalityT5MDFAZ0H6statementnone
Ambrose–Singer theoremT61AW674XDstatementnone
Descartes' rule of signsT6DQQ36JZ5statementnone
Bruhat decompositionT91E86D0RHstatementnone
Krull's height theoremTBRTZMHFTVstatementnone
Peixoto's theoremTDCY8TASCSstatementnone
Kaplansky density theoremTDTMMY7RK1statementnone
Hirzebruch signature theoremTEG1ZX1AGJstatementnone
Paley–Wiener theoremTHY12GPZ8Cstatementnone
Schur product theoremTM1RE1G7JKstatementnone
Friendship theoremTN4GDFWGARstatementnone
Fundamental theorem of space curvesTNYQ5R0NVMstatementnone
Fejér's theoremTPJZCSXSVNstatementnone
Simplicial approximation theoremTQFXC1A6G5statementnone
Sato–Tate conjectureTRGBJYPBXHstatementnone
Riesz representation theoremTTC40N49M6statementnone
Kolmogorov's three-series theoremTTTFQ693RJstatementnone
Bianchi identitiesTTXDZENFVBstatementnone
Poincaré recurrence theoremTVYJPBHD0Sstatementnone
JSJ decompositionTX4MSZ0SRPstatementnone
Structure theorem for finitely generated modules over a principal ideal domainTXMV0YDACGstatementnone
Measurable Riemann mapping theoremTZHD2WKNSDstatementnone
Cohen's theorem on Noetherian ringsTZT1TTB7CJstatementnone
Hadamard three-circle theoremV00Q05ZW1Gstatementnone
Fuglede's theoremV1C28937NXstatementnone
Kolmogorov continuity theoremV1HAJNC5RKstatementnone
Schur decompositionV1JG4C7R7Bstatementnone
Schwarz–Pick theoremV1QYA9RW73statementnone
Homotopy invariance of homologyV313FN8HRWstatementnone
Eilenberg–Zilber theoremV3G5YQTQ00statementnone
Regular local rings are domainsV3ZBMRKC08statementnone
Abel's summation formulaV5EPT2PX9Zstatementnone
Schur's theoremV6XJQXZ7E8statementnone
Morley's categoricity theoremV7N84P60SJstatementnone
Tsen's theoremV8HDYN3JMYstatementnone
Brauer's theorem on induced charactersV8JVWE87TEstatementnone
van der Waerden's theoremV96FRZ2ME1statementnone
Grothendieck's local dualityVA3DY2YX83statementnone
Church's theorem on undecidability of first-order logicVA6BNNY2YCstatementnone
Krein–Rutman theoremVADXDK3TKMstatementnone
Lyndon–Hochschild–Serre spectral sequenceVC3QNG6TKRstatementnone
Hook length formulaVCMS1CP91Nstatementnone
Newlander–Nirenberg theoremVCT848WV1Tstatementnone
Galois' theorem on solvabilityVHCWCFA3MXstatementnone
Slice theoremVQB2N60AREstatementnone
Chow–Rashevskii theoremVQPN24VDH1statementnone
Kolmogorov–Arnold representation theoremVQXDB9T838statementnone
Herbrand's theoremVZ21F10WRSstatementnone
Lévy's upward theoremW01FD2A8NKstatementnone
Quartic reciprocityW0M20JWC9Kstatementnone
De Finetti's theoremW19129PVKQstatementnone
Harris inequalityW1YH3YD3S4statementnone
Serre's criterion for normalityW27Z60Q1PFstatementnone
Balog–Szemerédi–Gowers theoremW5BZZ59CVMstatementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.