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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0903.3435 or http://arXiv.org/abs/0903.3435 or by email in unzipped form by transmitting an empty message with subject line uget 0903.3435 or in gzipped form by using subject line get 0903.3435 to: math@arXiv.org.