A note on small sets of reals

TL;DR

This paper constructs a large measure zero subset within the Cantor set using combinatorial methods, contributing to the understanding of measure and size properties in fractal sets.

Contribution

It introduces a novel combinatorial construction of a large measure zero subset of the Cantor set, expanding the methods for analyzing fractal measure properties.

Findings

Constructed a measure zero subset of the Cantor set

The subset is combinatorially large

Provides new insights into measure and size in fractal sets

Abstract

We construct a combinatorially large measure zero subset of the Cantor set.