Topological multiple recurrence for polynomial configurations in ...

• exposé

XPEH-TEX Topological multiple recurrence for polynomial configurations in nilpotent groups V. Bergelson, A. Leibman Abstract We establish a general multiple recurrence theorem for an action of a nilpotent group by homeomorphisms of a compact space. This theorem can be viewed as a nilpotent version of our recent polynomial Hales-Jewett theorem ([BL2]) and contains nilpotent extensions of many known “abelian” results as special cases. 0. Introduction 0.1.

• van
• accordance with the principles of ramsey theory
• monomial mappings
• nilpotent group
• polynomial mapping
• finite coloring
• nilpotent group of self-homeomorphisms
• metric space
• theorem