• the mathematical field of spectral graph theory, Brouwer's conjecture is a conjecture by Andries Brouwer on upper bounds for the intermediate sums of the...
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  • 1090/s0273-0979-1991-16054-4. "Publications Andries Brouwer". www.win.tue.nl. Brouwer's University home page hack(6) – Linux Games Manual Brouwer's Hack page at CWI...
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  • shapes Babai's problem: which groups are Babai invariant groups? Brouwer's conjecture on upper bounds for sums of eigenvalues of Laplacians of graphs in...
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    two-distance counterexample to Borsuk's conjecture, arXiv:1308.0206, Bibcode:2013arXiv1308.0206J Jenrich, Thomas; Brouwer, Andries E. (2014), "A 64-Dimensional...
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  • disproof of Goldbach's conjecture must exist (the conjecture may be undecidable in traditional ZF set theory). Thus to Brouwer, we are not justified in...
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  • Thumbnail for Jordan curve theorem
    Jordan's theorem implies the Brouwer fixed-point theorem. This complements the earlier result by Maehara, that Brouwer's fixed point theorem implies Jordan's...
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  • constructive proof of Goldbach's conjecture (in the former case) or a constructive proof that Goldbach's conjecture is false (in the latter case). Because...
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  • Thumbnail for Shizuo Kakutani
    stochastic analysis. The Collatz conjecture is also known as the Kakutani conjecture. "A generalization of Brouwer's fixed point theorem." Duke Mathematical...
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  • Thumbnail for Tien-Yien Li
    Kellogg and Yorke, Li's ideas and the use of numerical methods in computing Brouwer's fixed point, part of the field of modern Homotopy Continuation methods...
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  • Thumbnail for Bartel Leendert van der Waerden
    because his time in Germany made his politics suspect and in part due to Brouwer's opposition to Hilbert's school of mathematics. After a year visiting Johns...
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  • thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a thesis about the nature...
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  • Princeton University Press. p. 168. Franklin, J. 2001. The Science of Conjecture: Evidence and Probability Before Pascal. Baltimore: Johns Hopkins University...
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    René Thom (category Brouwer Medalists)
    transversality theorem. Another example of this line of work is the Thom conjecture, versions of which have been investigated using gauge theory. From the...
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  • Thumbnail for Petersen graph
    Unsolved problem in mathematics Conjecture: Every bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics...
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  • compact.) The theorem was conjectured and proven for special cases, such as Banach spaces, by Juliusz Schauder in 1930. His conjecture for the general case...
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    {\displaystyle J} . In 1910 L. E. J. Brouwer described an indecomposable continuum that disproved a conjecture made by Arthur Moritz Schoenflies that...
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  • Thumbnail for Hilbert's problems
    Gödel's impact on the Second Question, the impact of Arend Heyting's and Brouwer's Intuitionism on Hilbert's philosophy. Browder, Felix Earl (1976). "Mathematical...
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  • Thumbnail for László Lovász
    László Lovász (category Brouwer Medalists)
    the proofs of Kneser's conjecture and the Lovász local lemma, as well as the formulation of the Erdős–Faber–Lovász conjecture. He is also one of the eponymous...
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  • Intuitionistic logic was developed by Heyting to study Brouwer's program of intuitionism, in which Brouwer himself avoided formalization. Intuitionistic logic...
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  • Thumbnail for Yuri Manin
    Yuri Manin (category Brouwer Medalists)
    on the arithmetic and formal groups of abelian varieties, the Mordell conjecture in the function field case, and algebraic differential equations. The...
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  • Thumbnail for Morris Hirsch
    Pugh, Michael Shub: Invariant Manifolds, Springer 1977 Brouwer fixed-point theorem Chern's conjecture (affine geometry) Differential structure Homotopy principle...
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  • after Henri Poincaré — who conjectured it in 1883 — and Carlo Miranda — who in 1940 showed that it is equivalent to the Brouwer fixed-point theorem.: 545 ...
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  • Thumbnail for Ken Ribet
    conjecture formulated by Jean-Pierre Serre was true, and thereby proved that Fermat's Last Theorem would follow from the Taniyama–Shimura conjecture....
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  • Poincaré–Hopf theorem, the Brouwer fixed point theorem, Betti numbers, and Grigori Perelman's proof of the Poincaré conjecture. An appendix includes instructions...
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    3792/pjaa.69.144. Mohar, Bojan (2005). "Triangulations and the Hajós conjecture". Electronic Journal of Combinatorics. 12: N15. doi:10.37236/1982. MR 2176532...
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  • particular dimension theory, in the Netherlands: the decisive influence of Brouwer's intuitionism", in Aull, Charles E.; Lowen, Robert (eds.), Handbook of...
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  • 2018. Morgan, John W.; Tian, Gang (2007). Ricci Flow and the Poincaré Conjecture. American Mathematical Society. p. ix. ISBN 9780821843284. Manolescu,...
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  • across mathematics. A prominent example is Fermat's Last Theorem. This conjecture was stated in 1637 by Pierre de Fermat, but it was proved only in 1994...
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  • other direction, Jones might say, (3) "It is possible that Goldbach's conjecture is true; but also possible that it is false", and also (4) "if it is true...
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    square, has 4 vertices, 4 edges and 1 face, and 4 + 4 + 1 = 32. Kalai's 3d conjecture states that this is the minimum possible number of faces for a centrally...
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