This is an announcement for the paper "Linear operators with compact supports, probability measures and Milyutin maps" by Vesko Valov.
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.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 28A33; 54C10
Remarks: 26 pages
The source file(s), Milutin.TEX: 91700 bytes, is(are) stored in gzipped form as 0903.3435.gz with size 25kb. The corresponding postcript file has gzipped size 141kb.
Submitted from: veskov@nipissingu.ca
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http://front.math.ucdavis.edu/0903.3435
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http://arXiv.org/abs/0903.3435
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