6 citations · 21 across the 27 of their papers we have counts for
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On the structure of the set of higher order spreading models
Bünyamin Sari, Konstantinos Tyros
We generalize some results concerning the classical notion of a spreading model for the spreading models of order . Among them, we prove that the set of the -orde…
Higher Order Spreading Models
S. A. Argyros, V. Kanellopoulos, K. Tyros
We introduce the higher order spreading models associated to a Banach space . Their definition is based on $\ff$-sequences $(x_s)_{s\in\ff}$ with $\ff$ a regular thin family and…
Finite order spreading models
S. A. Argyros, V. Kanellopoulos, K. Tyros
Extending the classical notion of the spreading model, the -spreading models of a Banach space are introduced, for every . The definition, which is based on the…
A discretized approach to W.T. Gowers' game
V. Kanellopoulos, K. Tyros
We give an alternative proof of W. T. Gowers' theorem on block bases by reducing it to a discrete analogue on specific countable nets. We also give a Ramsey type result on k-tuples…