Linear operators with compact supports, probability measures and Milyutin maps

Details Linear operators with compact supports, probability measures and Milyutin maps Linear operators with compact supports, probability measures and Milyutin maps

2009-03-19

arxiv.org/abs/0903.3435v4

Mathematics

General Topology

26 pages

Scientific paper

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.

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