Open maps - Show that .... are open maps (see attachment)
Conformal Mappings - Let O be the upper half of the unit disc D. Find a conformal mapping f: O->D that maps {-1,0,1} to {-1,-i,1}.
Find z in O with f(z)=0
Compact metric space and distance - Here is the question.
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as foll ...
Projective geometry; linear maps - Let F be an affine map. Prove that the corresponding linear map is unique.
See attached file for full problem description.
Inverse bijections - Consider the two maps....prove that the two maps are inverse bijections and this constitute a 1-1 correspondence between the two sets. (see attached)