Universal covering Maps and radial

F Ur Mathematik in Den Naturwissenschaften Leipzig Universal Covering Maps and Radial Variation Universal Covering Maps and Radial Variation

Institute for Mathematical Physics Addendum To: Universal Covering Maps and Radial Variations

Bounded Geometry and Characterization of Some Transcendental Maps

We define two classes of topological infinite degree covering maps modeled on two families of transcendental holomorphic maps. The first, which we call exponential maps of type (p, q), are branched covers and is modeled on transcendental entire maps of the form Pe, where P and Q are polynomials of degrees p and q. The second is the class of universal covering maps from the plane to the sphere w...

Bounded Geometry and Characterization of Some Transcendental Entire and Meromorphic Maps

We define two classes of topological infinite degree covering maps modeled on two families of transcendental holomorphic maps. The first, which we call exponential maps of type (p, q), are branched covers and is modeled on transcendental entire maps of the form Pe, where P and Q are polynomials of degrees p and q. The second is the class of universal covering maps from the plane to the sphere w...

Illustrating an Error in “an Equivalent Condition for a Uniform Space to Be Coverable”

Berestovskii and Plaut introduced the concept of a coverable space [1] when developing their theory of generalized universal covering maps for uniform spaces. If a space is coverable and chain connected then it has a generalized universal covering map. Brodskiy, Dydak, LaBuz, and Mitra introduced the concept of a uniformly joinable space [2] when developing a theory of generalized uniform cover...