Determinacy of adversarial Gowers games

• Autorzy: Christian Rosendal
• Języki publikacji: EN

Abstrakty

EN

We prove a game-theoretic dichotomy for $G_{δσ}$ sets of block sequences in vector spaces that extends, on the one hand, the block Ramsey theorem of W. T. Gowers proved for analytic sets of block sequences and, on the other hand, M. Davis' proof of Σ⁰₃ determinacy.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 227
• Numer: 2
• Strony: 163-178

Daty

wydano

2014

Twórcy

autor

Christian Rosendal

• Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan St., Chicago, IL 60607-7045, U.S.A.

Identyfikatory

DOI

10.4064/fm227-2-3