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2 votes
0 answers
129 views

Single theorem for hybrid of winding number and rotation number?

I am trying to make mathematical sense of some observations from my physics research, so I hope that you will bear with me. For a complex-valued function $z(t)$ dependent on parameter $t$, I calculate ...
3 votes
0 answers
73 views

A holomorphic shrinking of a domain into a compact subset

This question is related to these two. Let $X\subset \mathbb{C}^{n}$ be a bounded domain. I am interested in the following property: there is a sequence of continuous maps $\varphi_n:\overline{X}\to X$...