Vassilis Kanellopoulos

A density version of the Carlson–Simpson theorem

We prove a density version of the Carlson--Simpson Theorem. Specifically we show the following. For every integer

Dense Subsets of Products of Finite Trees

k\geq 2

Measurable events indexed by products of trees

and every set

Ramsey theory for product spaces

A

On filling families of finite subsets of the Cantor set

of words over

MEASURABLE EVENTS INDEXED BY WORDS

k

Hausdorff measures and functions of bounded quadratic variation

satisfying \[\limsup_{n\to\infty} \frac{|A\cap [k]^n|}{k^n}>0\] there exist a word

On the geometric structure of convex sets with the RNP

c

Unconditional families in Banach spaces

over

A classification of separable Rosenthal compacta and its applications

k