| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424716 | Topology and its Applications | 2013 | 5 Pages |
Abstract
We prove that the relative rank r(B(X):C(X)) of the semigroup of Borel mappings B(X) from X to X (with the composition of mappings as the semigroup operation) with respect to the semigroup of continuous functions C(X) from X to X is equal to âµ1 if X is an uncountable Polish space which either can be retracted to a Cantor subset of X, or contains an arc, or is homeomorphic to its Cartesian square X2.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Wojciech Bielas, Arnold W. Miller, MichaÅ Morayne, Tomasz SÅonka,