AbstractThis paper contains a proof of a conjecture of S. Simpson which is an infinitary version of a conjecture of Rota concerning partitions of finite dimensional vector spaces over a finite field. Rota's conjecture was proved by Graham, Leeb, and Rothschild (Adv. in Math. 8 (1972), 417–433)
In this thesis we study several principles involving subspaces and decompositions of vector spaces, ...
Graphons are analytic objects associated with convergent sequences of dense graphs. Finitely forcibl...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
AbstractThis paper contains a proof of a conjecture of S. Simpson which is an infinitary version of ...
AbstractWe prove a Ramsey-style theorem for sequences of vectors in an infinite-dimensional vector s...
AbstractWe prove a canonical partition relation for finite subsets of ω that generalizes Hindman's t...
AbstractThe principal result of this paper establishes the validity of a conjecture by Graham and Ro...
AbstractThe induced restricted versions of the vector space Ramsey theorem and of the Graham-Rothsch...
Abstract. We answer a question by Niederreiter concerning the enumeration of a class of subspaces of...
14 pagesWe define a faithful functor from a cartesian closed category of linearly topologized vector...
Recent work on many problems in additive combinatorics, such as Roth's Theorem, has shown the useful...
Motivated by a connection with block iterative methods for solving linear systems over finite fields...
AbstractSome results of geometric Ramsey theory assert that if F is a finite field (respectively, se...
We prove finiteness results on integral points on complements of large divisors in projective variet...
We give short proofs of the partition theorems for parameter sets and finite vectorspaces
In this thesis we study several principles involving subspaces and decompositions of vector spaces, ...
Graphons are analytic objects associated with convergent sequences of dense graphs. Finitely forcibl...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
AbstractThis paper contains a proof of a conjecture of S. Simpson which is an infinitary version of ...
AbstractWe prove a Ramsey-style theorem for sequences of vectors in an infinite-dimensional vector s...
AbstractWe prove a canonical partition relation for finite subsets of ω that generalizes Hindman's t...
AbstractThe principal result of this paper establishes the validity of a conjecture by Graham and Ro...
AbstractThe induced restricted versions of the vector space Ramsey theorem and of the Graham-Rothsch...
Abstract. We answer a question by Niederreiter concerning the enumeration of a class of subspaces of...
14 pagesWe define a faithful functor from a cartesian closed category of linearly topologized vector...
Recent work on many problems in additive combinatorics, such as Roth's Theorem, has shown the useful...
Motivated by a connection with block iterative methods for solving linear systems over finite fields...
AbstractSome results of geometric Ramsey theory assert that if F is a finite field (respectively, se...
We prove finiteness results on integral points on complements of large divisors in projective variet...
We give short proofs of the partition theorems for parameter sets and finite vectorspaces
In this thesis we study several principles involving subspaces and decompositions of vector spaces, ...
Graphons are analytic objects associated with convergent sequences of dense graphs. Finitely forcibl...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...