You are here

Cantor Groups

The Cantor subset of the unit interval \([0,1)\) is large in cardinality and also large algebraically, that is, the smallest subgroup of \([0,1)\) generated by the Cantor set (using addition mod \(1\) as the group operation) is the whole of \([0,1)\). The authors show how to construct Cantor-like sets which are large in cardinality but small algebraically.

Author(s): 
Ben Mathes, Chris Dow, and Leo Livshits
Publication Date: 
Tuesday, June 10, 2014
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 2011
Subject(s): 
Analysis
Real Analysis
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
0.00
Rating Sum: 
0.00
Applicable Course(s): 
4.2 Mod Algebra I & II
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Tuesday, June 10, 2014
No votes yet

Dummy View - NOT TO BE DELETED