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5
votes
1
answer
510
views
Adding segments to an annulus - a question regarding the conformal modulus
Let $A \subset \mathbb{C}$ be an topological annulus, i.e. a region of $\mathbb{C}$ bounded by two disjoint Jordan curves.
Let $B \subset \mathbb{C}$ be a quadrilateral, i.e. a topological disc with f …
2
votes
1
answer
720
views
How to determine bounds on the extremal length around annuli?
I wish to determine bounds for the sum of moduli of a family of topological annuli in the complex plane. Towards that end I would like to ask a question about the closely related concept of extremal l …