It is proved that if the image of the eventual singular set of an analytic function of measure zero is also of measure zero, and the function is zero-dimensional on it, then it is analytic everywhere.

The problem of construction of formal descriptions of combinatorial sets based on primary combinatorial sets and proposed mappings is considered. A concept of composition k-image of combinatorial sets is introduced. A class ...

A subgroup H of the group G is called almost polycyclically approximate to a normal one (in G), if H includes a subgroup L normal in H^G such that a factor-group H^G /L is almost polycyclic. A group G is said to be an anti ...