Add to ORKGWe prove the colourful versions of three clasical transversal theorems: The Katchalski-Lewis Theorem "T(3) implies T-k", the "T(3) implies T" Theorem for well distributed sets, and the Goodmann-Pollack Transversal Theorem for hyperplanes
AbstractIt is shown how a wide variety of transversal theorems can be given a common proof. The proo...
Reverse mathematics is primarily interested in what set existence axioms are necessary in a proof of...
The topological KKMS Theorem is a powerful extension of Brouwer's Fixed-Point Theorem, which was pro...
We prove the colourful versions of three clasical transversal theorems: The Katchalski-Lewis Theorem...
We investigate a number of questions, problems, and conjectures related to geometric transversal the...
summary:The aim of this paper is to generalize several basic results from transversal theory, primar...
In [2] we proved a necessary and sufficient condition for a family of sets to possess a transversal....
Our point of departure is the following simple common generalisation of the Sylvester–Gallai theorem...
AbstractThere are two conditions which are known to be necessary for the existence of a transversal ...
Johnson showed that the only doubly transitive parallelisms of PG(3, q) are exactly the two regula...
AbstractThis paper proves a conjecture of C. St. J. A. Nash-Williams giving necessary and sufficient...
Não disponívelThis work is concerned with the transversality properties of differentiable maps, and ...
AbstractCombining Ky Fan’s theorem with ideas of Greene and Matoušek we prove a generalization of Do...
Abstract We prove several colorful generalizations of classical theorems in discrete geometry. Moreo...
The colored Tverberg theorem asserts that for every d and r there exists t = t(d, r) such that for e...
AbstractIt is shown how a wide variety of transversal theorems can be given a common proof. The proo...
Reverse mathematics is primarily interested in what set existence axioms are necessary in a proof of...
The topological KKMS Theorem is a powerful extension of Brouwer's Fixed-Point Theorem, which was pro...
We prove the colourful versions of three clasical transversal theorems: The Katchalski-Lewis Theorem...
We investigate a number of questions, problems, and conjectures related to geometric transversal the...
summary:The aim of this paper is to generalize several basic results from transversal theory, primar...
In [2] we proved a necessary and sufficient condition for a family of sets to possess a transversal....
Our point of departure is the following simple common generalisation of the Sylvester–Gallai theorem...
AbstractThere are two conditions which are known to be necessary for the existence of a transversal ...
Johnson showed that the only doubly transitive parallelisms of PG(3, q) are exactly the two regula...
AbstractThis paper proves a conjecture of C. St. J. A. Nash-Williams giving necessary and sufficient...
Não disponívelThis work is concerned with the transversality properties of differentiable maps, and ...
AbstractCombining Ky Fan’s theorem with ideas of Greene and Matoušek we prove a generalization of Do...
Abstract We prove several colorful generalizations of classical theorems in discrete geometry. Moreo...
The colored Tverberg theorem asserts that for every d and r there exists t = t(d, r) such that for e...
AbstractIt is shown how a wide variety of transversal theorems can be given a common proof. The proo...
Reverse mathematics is primarily interested in what set existence axioms are necessary in a proof of...
The topological KKMS Theorem is a powerful extension of Brouwer's Fixed-Point Theorem, which was pro...