In mathematics, the Tutte homotopy theorem, introduced by Tutte (1958), generalises the concept of "path" from graphs to matroids, and states roughly...

sophisticated homotopy theorem and founded the studies of chain groups and regular matroids, about which he proved deep results. In addition, Tutte developed...

theorem the theory of chain groups and their matroids and the tools he used to prove many of his results: the "Path theorem" "Tutte homotopy theorem"...

Bishop–Cannings theorem (economics) Blakers–Massey theorem (homotopy theory) Blaschke selection theorem (geometric topology) Bloch's theorem (complex analysis)...

forbidden minors, are deep results of W. T. Tutte, originally proved by him using the Tutte homotopy theorem. Gerards (1989) later published an alternative...

(1928–2014) is the eponym of many things. Ax–Grothendieck theorem Birkhoff–Grothendieck theorem Brieskorn–Grothendieck resolution Dolbeault-Grothendieck...

doi:10.1002/jgt.3190200311, MR 1355434, S2CID 31334681. Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical...

1.108.1426, doi:10.1112/jlms/s2-23.2.193, MR 0609098. Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical...

Springer, pp. 155–170, doi:10.1007/BFb0060114, MR 0263666. Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical...

(3): 403–408, doi:10.1112/jlms/s2-18.3.403, MR 0518224. Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical...

the girth, ever since the 1947 article on girth by W. T. Tutte. Possibly inspired by Tutte's article, Loewner started thinking about systolic questions...

group must be a Lie group. Mazur's conjectures Novikov conjecture on the homotopy invariance of certain polynomials in the Pontryagin classes of a manifold...

of mathematics study objects of a given type and prove a classification theorem. A common theme is that the classification results in a number of series...

Oxley (2006), p. 12. Oxley (2006), pp. 170–172, 196. Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical...