Sentence examples for circle homeomorphisms from inspiring English sources

Critical circle homeomorphisms.

Denjoy's result has been extended for different classes of circle homeomorphisms.

Now we define the new class of circle homeomorphisms as follows.

The cross-ratio distortions are the most powerful tools to study the existence and smoothness of a conjugating map for the critical circle homeomorphisms.

Our aim in this work is to prove the cross-ratio inequality for a new class of circle homeomorphisms, which will be defined below with the aid of the above two classes and to show the existence of a conjugating map for this new class.

f is a preserving orientation circle homeomorphism on (S^{1}).

(i) f is a preserving orientation circle homeomorphism on (S^{1}).

Let f be a circle homeomorphism with irrational rotation number satisfying conditions (i - iii).

Let f be a circle homeomorphism with irrational rotation number ρ.

Let f be a circle homeomorphism with irrational rotation number satisfying conditions (i - iii) wi - iiibreak points.

Then there exists a circle homeomorphism φ such that the following equality varphicirc f = f_{rho}circvarphi holds.