Linear operators with compact supports, probability measures and Milyutin maps
General Topology
2009-04-29 v4 Functional Analysis
Abstract
The notion of a regular operator with compact supports between function spaces is introduced. On that base we obtain a characterization of absolute extensors for zero-dimensional spaces in terms of regular extension operators having compact supports. Milyutin maps are also considered and it is established that some topological properties, like paracompactness, metrizability and k-metrizability, are preserved under Milyutin maps.
Cite
@article{arxiv.0903.3435,
title = {Linear operators with compact supports, probability measures and Milyutin maps},
author = {Vesko Valov},
journal= {arXiv preprint arXiv:0903.3435},
year = {2009}
}
Comments
26 pages