Math 2.0

Frontier, page 8

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 1051–1200 in each list.

Statements with no proof

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

NameTagKindEvidence
Gradient points in the direction of steepest ascent0ZC78099PAstatementnone
Orbits partition the set0ZC7FYE0NZstatementnone
g to the order of the group is the identity0ZEPNS9BXKstatementnone
Universal property of the quotient space0ZERJX6PH6statementnone
Transfinite induction0ZHQMQ2C1Nstatementnone
Canonical isomorphism with the double dual0ZJM9D7NPSstatementnone
Absorption law0ZKZBJPG2Jstatementnone
Path-connected spaces are connected0ZMT1GP4KMstatementnone
First isomorphism theorem for rings0ZMYX7GMH0statementnone
Determinant of a 2 by 2 matrix0ZN2J42SK7statementnone
K(a) is isomorphic to K[x] modulo the minimal polynomial0ZN39QDTP9statementnone
p-series test0ZNSSK8ZK1statementnone
Matrix of the dual map is the transpose0ZPB3180AYstatementnone
Tower law for indices0ZQJ7KEFQ5statementnone
The logarithm is strictly concave0ZS54B9GJFstatementnone
Intersection of subgroups is a subgroup0ZTGMDNVTBstatementnone
Uniqueness of limits0ZXJ2455NJstatementnone
Second supplement to quadratic reciprocity0ZXW95S44Mstatementnone
Determinant of a transpose0ZZQ2E1MTEstatementnone
Doob's upcrossing inequality10HFW1GRV2statementnone
Homotopy lifting for covering maps11FFYBNF0Estatementnone
Willmore conjecture11MYA5W3KTstatementnone
Weierstrass factorization theorem11VC51YHQJstatementnone
Rokhlin's theorem12BXVH5W5Hstatementnone
Huisken's theorem on convex hypersurfaces14RHHMGF2Dstatementnone
Hales–Jewett theorem14SGZ5HA4Ystatementnone
Ryll-Nardzewski theorem1513J40TKAstatementnone
Nakayama's lemma15JHBYR6KHstatementnone
Abel–Ruffini theorem163A2WQQJXstatementnone
Liénard's theorem178GG6TXKQstatementnone
Spectral theorem for unbounded self-adjoint operators18KPYRRPZYstatementnone
Artin approximation theorem1AFTCHDDFEstatementnone
Wagner's theorem1B2ZJPVV03statementnone
Banach–Alaoglu theorem1BXEJXQ2YTstatementnone
Dirichlet's unit theorem1D99CSKX6Nstatementnone
Regular local rings are UFDs1HD3EK5392statementnone
Giroux correspondence1HTW0F4ZZ7statementnone
Compactness theorem1NR3HAWG9Dstatementnone
Stone–Weierstrass theorem1P8D3MK79Hstatementnone
Pettis measurability theorem1P9ZR606JNstatementnone
Krull intersection theorem1Q1AH2V41Sstatementnone
Arakelyan's theorem1S20A3R659statementnone
Robinson–Schensted correspondence1SCF8X47G1statementnone
Cap set problem1SF8Y9M8YBstatementnone
Minkowski bound1TQ2F9CFVEstatementnone
Clarkson's inequalities1V11QM5C07statementnone
Lebesgue's theorem on differentiability of monotone functions1Y4N1DDQNRstatementnone
Loewner's torus inequality1Y9X1YW6GHstatementnone
Newton–Kantorovich theorem1YDR94WQMZstatementnone
Lickorish–Wallace theorem1YP4RF1QXVstatementnone
Radon–Nikodym theorem1ZSZS5G1Q4statementnone
Berger's classification of holonomy groups20GTNPF5V6statementnone
Paley–Zygmund inequality211PJYW8W6statementnone
Zassenhaus lemma21JJ523V95statementnone
Nonexistence of infinite-dimensional Lebesgue measure23DM2PQC78statementnone
Cohn's irreducibility criterion246SBC2M2Nstatementnone
Osgood uniqueness criterion2AHNVSH76Mstatementnone
Artin's induction theorem2CABBY4EEBstatementnone
Martingale representation theorem2E8MQXDYNVstatementnone
Von Neumann's theorem on self-adjoint extensions2FE4P23NVCstatementnone
Whitney embedding theorem2GSRBDT96Mstatementnone
Itô's lemma2J1RVQB0CMstatementnone
Weyl's law2JK9YMZV2Bstatementnone
Eberlein–Šmulian theorem2MTN8CQWMEstatementnone
Hahn decomposition theorem2PKHANZ8JSstatementnone
Jordan–Brouwer separation theorem2Q008XWQDEstatementnone
Classification of surfaces2SFM73YET0statementnone
Monotone class theorem2T33SA540Estatementnone
Beurling's theorem2V1DXXM9FAstatementnone
Matlis duality2V9BR5XX6Astatementnone
Z* theorem2XCJ8NNMXPstatementnone
Cartan formula2YPJ39STQMstatementnone
Schwartz kernel theorem2ZKWZ0A4MTstatementnone
Kirszbraun theorem2ZM39HSFTQstatementnone
Lyapunov's convexity theorem2ZTQX5M0TKstatementnone
Artin–Rees lemma30H6B0G2FTstatementnone
Jones index theorem31N0FH22ZTstatementnone
Cauchy–Pompeiu formula345DJTSPHMstatementnone
Donaldson's theorem34B7K77P31statementnone
Jacobi's formula357FEAZ0Q4statementnone
Lovász local lemma35YQ94FNV1statementnone
Nilradical is the intersection of the prime ideals3CZ8PXR9JYstatementnone
Gelfand–Mazur theorem3D6XH41A3Bstatementnone
Vector fields on spheres3ES79NWRS7statementnone
Ending lamination theorem3EVAF9NG5Zstatementnone
Löb's theorem3HD30YG3DGstatementnone
Cramér–Wold theorem3HFP9ZQ580statementnone
Gelfand's formula3KX0KQ7V05statementnone
Birkhoff–von Neumann theorem3KY1RMEDMJstatementnone
Brouwer's characterization of the Cantor space3NKBCNH5JSstatementnone
Diagonal lemma3PRW76471Jstatementnone
Wigner semicircle law3QTT95DMFHstatementnone
Bendixson–Dulac theorem3QWVVM56JFstatementnone
Poincaré conjecture3R064KFF68statementnone
Hurwitz's theorem (number theory)3RDB8B5GFAstatementnone
Michael selection theorem3RJ1K36A9Astatementnone
Transfer principle3RT74FQYG1statementnone
Commutant lifting theorem3TVXB7X266statementnone
Hermite–Hadamard inequality3VB65PEZQSstatementnone
Schoenflies theorem3VX06XRVZGstatementnone
Tarski–Seidenberg theorem3W5JGDZAN0statementnone
Wiener–Khinchin theorem3ZXN26PW4Gstatementnone
Ahlswede–Daykin inequality4085B8A528statementnone
Cartan–Hadamard theorem428R02EYWSstatementnone
Scheffé's lemma44RN97ZXDZstatementnone
Löwenheim–Skolem theorem484M0TZ1S7statementnone
Jensen's formula497K99BQ4Ystatementnone
Weierstrass preparation theorem49JSD49P7Xstatementnone
Quartic formula4CDFMKKZ01statementnone
Ramanujan–Petersson conjecture4CDFWST967statementnone
Galois group of a prime degree polynomial with two nonreal roots4CMPPTSJNPstatementnone
g-theorem4CZMWQVC30statementnone
Carathéodory's existence theorem4D090WJ84Hstatementnone
Quillen's theorem on complex cobordism4E518M24MAstatementnone
Doob's martingale inequality4G53E7BRXFstatementnone
Fredholm alternative4HH8C9V8JQstatementnone
Max-flow min-cut theorem4HMR4KQ01Tstatementnone
Mazur–Ulam theorem4J4EW7FXWWstatementnone
Barbalat's lemma4KPNX1SZYRstatementnone
Siegel's theorem on integral points4KTBRP27P6statementnone
Artin–Tate lemma4MBR0W0S6Nstatementnone
Portmanteau theorem4SSJ589G6Tstatementnone
Feldman–Hájek theorem4TXG13F5N0statementnone
Nevanlinna–Pick interpolation4VMSSYB5DNstatementnone
Dehn–Sommerville equations4WKHF5BCTAstatementnone
Poincaré–Hopf theorem4XTPY82PP4statementnone
Paris–Harrington theorem509ZWA0R26statementnone
Monodromy theorem54QMKJF64Astatementnone
Fodor's lemma55W1M20Q3Fstatementnone
Class number formula55XX5A7XZVstatementnone
Hochster–Roberts theorem56107GMFYVstatementnone
h-cobordism theorem56YF8W9NXPstatementnone
Lieb–Thirring inequality572QKEYYKXstatementnone
Artin–Schreier theorem58P0EGAFVVstatementnone
Perron's irreducibility criterion5BCRQYVYR8statementnone
Karhunen–Loève theorem5CN7KY8MWPstatementnone
Atiyah–Guillemin–Sternberg convexity theorem5CTHC6612Nstatementnone
Uniformization theorem5EJ7SW1RCVstatementnone
Integral extensions of fields5GCANV7337statementnone
Minkowski's second theorem5H4XZVF9B9statementnone
Lasker–Noether theorem5H8Z56KXMSstatementnone
Mergelyan's theorem5KKCSZJC29statementnone
Itô isometry5MDK7HSYRMstatementnone
Frobenius theorem5Q4BHBFXJYstatementnone
Norm residue isomorphism theorem5Q5VN56QH4statementnone
Sphere theorem for 3-manifolds5QAFGPAZ4Astatementnone
Milnor conjecture on slice genus of torus knots5SDA7ZXT95statementnone
May recognition principle5SMK5KEBQEstatementnone
High indices theorem5VN386XHGAstatementnone
Hille–Yosida theorem5YR4GJKPCVstatementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.