Page 1

Displaying 1 – 5 of 5

Showing per page

Holomorphic motions commuting with semigroups

Zbigniew Słodkowski (1996)

Studia Mathematica

A holomorphic family f z , |z|<1, of injections of a compact set E into the Riemann sphere can be extended to a holomorphic family of homeomorphisms F z , |z|<1, of the Riemann sphere. (An earlier result of the author.) It is shown below that there exist extensions F z which, in addition, commute with some holomorphic families of holomorphic endomorphisms of ̅ ̅ ̅ ̅ ̅ ̅ f z ( E ) , |z|<1 (under suitable assumptions). The classes of covering maps and maps with the path lifting property are discussed.

Currently displaying 1 – 5 of 5

Page 1