Year: 2020
Type: article
Abstract: It is well known that an antichain in the continuous cube [0, 1]n must have measure 0. Engel, Mitsis, Pelekis and Reiher showed that in fact it must have ( n − 1 ) -dimensional Hausdorff measure at most n, and they conjectured that this bound can be attained. In this note we show that, for every n, such an antichain does indeed exist.
Source: Mathematika
DOI: 10.1112/mtk.12036
Author: Barnabás Janzer
Institution: University of Cambridge
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7385057289
OpenAlex ID: W2987978703