Linear operators with compact supports, probability measures and Milyutin maps

Autor:	Valov, Vesko
Rok vydání:	2009
Předmět:	Mathematics - General Topology Mathematics - Functional Analysis 28A33 54C10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0903.3435 Zobrazit plný text záznamu View this record from Arxiv