Math 2.0

Frontier, page 14

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.

2198 statements with no proof; 134 open conjectures and problems. Showing up to 1951–2100 in each list.

Statements with no proof

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

NameTagKindEvidence
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
Wang's finiteness theoremSP421Y498Cstatementnone
Auslander–Buchsbaum formulaSQB74J5E8Qstatementnone
Boolean prime ideal theoremSTPBXBKSZPstatementnone
Moise's theoremSV0816DJP9statementnone
Burkholder–Davis–Gundy inequalitySWHVQD9YEBstatementnone
Doob–Meyer decomposition theoremSX7ZPP72EMstatementnone
Bogomolov–Miyaoka–Yau inequalitySYSVE5P1YNstatementnone
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
Right adjoints preserve limitsT6A7JK3J98statementnone
Descartes' rule of signsT6DQQ36JZ5statementnone
Bruhat decompositionT91E86D0RHstatementnone
Szpilrajn extension theoremT9CJHV6JW3statementnone
Abian–Brown theoremTAHM74ZNWBstatementnone
Kawamata–Viehweg vanishing theoremTAMCTW7SA0statementnone
Krull's height theoremTBRTZMHFTVstatementnone
Foster's theorem on primal algebrasTCD8SZW95Zstatementnone
Peixoto's theoremTDCY8TASCSstatementnone
Kaplansky density theoremTDTMMY7RK1statementnone
Hirzebruch signature theoremTEG1ZX1AGJstatementnone
Chevalley's theorem on constructible setsTGN01264C4statementnone
Paley–Wiener theoremTHY12GPZ8Cstatementnone
Schur product theoremTM1RE1G7JKstatementnone
Borel density theoremTM8PYTBT6Ystatementnone
Friendship theoremTN4GDFWGARstatementnone
Fundamental theorem of space curvesTNYQ5R0NVMstatementnone
Fejér's theoremTPJZCSXSVNstatementnone
Simplicial approximation theoremTQFXC1A6G5statementnone
Sato–Tate conjectureTRGBJYPBXHstatementnone
Endomorphism ring of a simple module is a division ringTRMYSF91EVstatementnone
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
Wiener's Tauberian theoremV20376HXHDstatementnone
Weil's local rigidity theoremV2HTMG4KT1statementnone
Homotopy invariance of homologyV313FN8HRWstatementnone
Eilenberg–Zilber theoremV3G5YQTQ00statementnone
Regular local rings are domainsV3ZBMRKC08statementnone
Skolem–Noether theoremV4PEVFF4F4statementnone
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
Plancherel theorem for abelian groupsV9K9TG0K3Jstatementnone
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
Small object argumentVDQAZDHFF7statementnone
von Neumann coordinatization theoremVDRCDZ048Jstatementnone
Galois' theorem on solvabilityVHCWCFA3MXstatementnone
Horseshoe lemmaVNMBSYX9PYstatementnone
Bernstein–Kushnirenko theoremVP32769PVRstatementnone
Slice theoremVQB2N60AREstatementnone
Twenty-seven lines on a cubic surfaceVQK5HQFYEMstatementnone
Chow–Rashevskii theoremVQPN24VDH1statementnone
Kolmogorov–Arnold representation theoremVQXDB9T838statementnone
Jónsson's lemmaVT72G3BA99statementnone
Amitsur's theorem on the radical of polynomial ringsVW2H7873YMstatementnone
Herbrand's theoremVZ21F10WRSstatementnone
Lévy's upward theoremW01FD2A8NKstatementnone
Toyoda–Bruck theoremW0KBNZBCRRstatementnone
Quartic reciprocityW0M20JWC9Kstatementnone
De Finetti's theoremW19129PVKQstatementnone
Harris inequalityW1YH3YD3S4statementnone
Feynman–Kac formulaW26MGR4DA3statementnone
Serre's criterion for normalityW27Z60Q1PFstatementnone
Hopkins–Levitzki theoremW29AA0266Zstatementnone
Balog–Szemerédi–Gowers theoremW5BZZ59CVMstatementnone
Existence of transcendence basesW635VBXEXGstatementnone
Five lemmaW6AVEAW2WRstatementnone
Tennenbaum's theoremW6D5ZJAY9Dstatementnone
Sturm comparison theoremW7VXNYZQN2statementnone
Impossibility of the classical construction problemsW8J42M1G28statementnone
Prime ideals of a localizationW8QNZZ4QJSstatementnone
Tube lemmaW8XEZR3VKQstatementnone
Nielsen–Schreier theoremW97X7WX5G8statementnone
Fully faithful essentially surjective functor is an equivalenceWA60RW9E04statementnone
Cameron–Martin theoremWAE4ZGJXJ7statementnone
Jordan decomposition of a signed measureWAGJVK2NWEstatementnone
Delzant's theorem on toric manifoldsWBKCGFMT0Pstatementnone
Birkhoff's completeness theoremWDHWCQ6Y2Ystatementnone
Chen's theoremWE0RQTR68Hstatementnone
Stable manifold theoremWF22KK7C3Rstatementnone
Reflection formula for the gamma functionWF7KQAQTS2statementnone
Post's functional completeness theoremWGBR7JHBV4statementnone
Hadamard three-lines theoremWHS58R43N0statementnone
Castelnuovo's contraction theoremWJ5WRGG5DEstatementnone
Calabi conjectureWJKA5YBTJ7statementnone
Baker's theoremWMBJSNG57Fstatementnone
Corona theoremWMGA92P2G4statementnone
Riemann–Roch theoremWMVAT9MBZ1statementnone
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
GAGAWVZ5EZN9V2statementnone
Fubini's theorem for seriesWW53KG71KHstatementnone
Wang sequenceWWX8HCN260statementnone
Koebe quarter theoremWX0HMW4GT7statementnone
Yoneda Ext and extensionsWXRH0CYKYFstatementnone
Calabi–Weil rigidityX4DZR72B6Nstatementnone
Schur's lemmaX4M2FFKQJ6statementnone
Mittag-Leffler's theoremX4R2GY1F6Jstatementnone
Abel–Dini theoremX629NF2CQSstatementnone
Inner-outer factorizationX6ZQPAQF76statementnone
Spectral theorem for bounded normal operatorsX71XRPJR7Dstatementnone
Robbins conjectureX74S395RZDstatementnone
Artin's theorem on fixed fieldsX7R15C00ETstatementnone
Bondy's theoremX7S41PARF5statementnone
Lie algebra of a compact group is reductiveX7T5D9SMT5statementnone
Baker–Campbell–Hausdorff formulaX898DPBSY7statementnone
Mayer–Vietoris sequenceX8BWXFGK53statementnone
Stinespring dilation theoremX8K0Z7484Rstatementnone
Hilbert's tenth problemX8TVJSVTD4statementnone
Chebotarev's density theoremX8VKW5Y1CZstatementnone
F. and M. Riesz theoremX9V1E3V145statementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.