Majorizing Measures and Ultrametric Spaces
Volume 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 91-100
MSC: Primary 60G17; Secondary 28A99.
DOI: 10.4064/ba60-1-7
Abstract
Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.
