A Möbius map from the unit disc onto itself
64481
Characterizing all mobius transformations from unit disk to itself.
60008
Can we always view loops as maps from $S^1\to X$?
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
26687
Show that $f$ maps the unit circle to itself
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
37635
Diffeomorphism group of the unit circle
144650
Uniform distribution on unit disk
65414
One-one analytic functions on unit disc
125814
The function $f(z)=z+\frac{1}{z}$ maps $\Omega$ biholomorphically on the upper plane
46563
Show that the quotient space is homeomorphic to the n-disc
149971
Closed unit disk homeomorphic to $\mathbb{R}^2$?
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
64463
Proof that angle-preserving map is conformal
48740
What is the homeomorphism between a disk and an ellipse?
30626
The mapping cylinder of CW complex
155244
Holomorphic self map on the open unit disc