3 papers
math.FA2020
Connected components of the general linear group of a real hereditarily indecomposable Banach space
N. de Rancourt
We give a complete description of the structure of the connected components of the general linear group of a real hereditarily indecomposable Banach space, depending on the existen…
math.FA2019
Spectral-free methods in the theory of hereditarily indecomposable Banach spaces
Noé de Rancourt
We give new and simple proofs of some classical properties of hereditarily indecomposable Banach spaces, including the result by W. T. Gowers and B. Maurey that a hereditarily inde…
math.LO2018
Ramsey theory without pigeonhole principle and the adversarial Ramsey principle
Noé de Rancourt
We develop a general framework for infinite-dimensional Ramsey theory with and without pigeonhole principle, inspired by Gowers' Ramsey-type theorem for block sequences in Banach s…