unsolved problems in mathematics The Borsuk problem in geometry, for historical reasons incorrectly called Borsuk's conjecture, is a question in discrete geometry...

In mathematics, the Bing–Borsuk conjecture states that every n {\displaystyle n} -dimensional homogeneous absolute neighborhood retract space is a topological...

mathematical concepts that bear Borsuk's name include Borsuk's conjecture, Borsuk–Ulam theorem and Bing–Borsuk conjecture. In 1936, he married Zofia Paczkowska...

In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about...

of graphs has a sharp phase transition, for solving Borsuk's problem (known as Borsuk's conjecture) on the number of pieces needed to partition convex...

Bing–Borsuk conjecture: every n {\displaystyle n} -dimensional homogeneous absolute neighborhood retract is a topological manifold. Borel conjecture: aspherical...

Atiyah conjecture (not a conjecture to start with) Borsuk's conjecture Chinese hypothesis (not a conjecture to start with) Doomsday conjecture Euler's...

smaller copies are needed to cover the body, as Levi already proved. Borsuk's conjecture on covering convex bodies with sets of smaller diameter Brass, Moser...

ovoidal Möbius planes. In 1993, together with Gil Kalai, he disproved Borsuk's conjecture. In 1996 he was awarded the Pólya Prize (SIAM). He was an invited...

Sylvester–Gallai theorem and De Bruijn–Erdős theorem Cauchy's theorem Borsuk's conjecture Schröder–Bernstein theorem Wetzel's problem on families of analytic...

coordinates are non-negative for points in the convex hull. Borsuk's conjecture - a conjecture about the number of pieces required to cover a body with a...

generalized Schoenflies conjecture and the double suspension theorem relied on Bing-type shrinking. Bing was fascinated by the Poincaré conjecture and made several...

number. Bing–Borsuk conjecture See Bing–Borsuk conjecture. Bockstein homomorphism Borel Borel conjecture. Borel–Moore homology Borsuk's theorem Bott 1...

cohomotopy groups, later called Borsuk–Spanier cohomotopy groups; he also founded shape theory; Borsuk's conjecture, Borsuk-Ulam theorem. Jerzy Konorski...

conjecture states that every Busemann G-space is a topological manifold. It is a special case of the Bing–Borsuk conjecture. The Busemann conjecture is...

In geometry, more specifically in polytope theory, Kalai's 3d conjecture is a conjecture on the polyhedral combinatorics of centrally symmetric polytopes...

the Petersen graph requires three colors in any proper coloring. This conjecture was proved in several ways. László Lovász proved this in 1978 using topological...

work in which she constructed a smooth counterexample to the Seifert conjecture. She has since continued to work in dynamical systems. In 1995 Kuperberg...

Unsolved problem in mathematics Conjecture: Every bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics...

Mazur–Ulam theorem Ulam's conjecture Collatz conjecture Kelly–Ulam conjecture, or reconstruction conjecture Ulam's packing conjecture Ulam matrix Ulam numbers...

applied mathematics, he proved a number of theorems and proposed several conjectures. Born into a wealthy Polish Jewish family in Lemberg, Austria-Hungary;...

the book, was a proof that László Lovász published in 1978 of a 1955 conjecture by Martin Kneser, according to which the Kneser graphs K G 2 n + k , n...

homotopy theory Spectrum (homotopy theory) Morava K-theory Hodge conjecture Weil conjectures Directed algebraic topology Example: DE-9IM Chain complex Commutative...

Lovász proved the Kneser conjecture, thus beginning the new field of topological combinatorics. Lovász's proof used the Borsuk–Ulam theorem and this theorem...

Lovász proved the Kneser conjecture, thus beginning the new study of topological combinatorics. Lovász's proof used the Borsuk-Ulam theorem and this theorem...

the fair cake-cutting problem. Steinhaus was also the first person to conjecture the ham-sandwich theorem, and one of the first to propose the method of...

condition for the FPP to hold. The problem was open for 20 years until the conjecture was disproved by Kinoshita who found an example of a compact contractible...

include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives and integrals in alternative...

Blagojević, Ziegler and Frick leads to counterexamples. Rota's basis conjecture Tverberg, H. (1966), "A generalization of Radon's theorem" (PDF), Journal...

conservation law. 1916 – Srinivasa Ramanujan introduces Ramanujan conjecture. This conjecture is later generalized by Hans Petersson. 1919 – Viggo Brun defines...