Linear Operators with Compact Supports, Probability Measures and Milyutin Maps
نویسندگان
چکیده
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 0-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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تاریخ انتشار 2009