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arXiv · 2306.13159

On the Cauchy Integral Theorem and Polish spaces

Cristian López Morales·Camilo Ramírez Maluendas
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Abstract

We prove that if a function $f$ is continuous in an open subset $U\subset\mathbb{C}$ and analytic in $U\setminus X$, where $X\subset U$ is a Polish space having characteristic system $(i,n)$, such that $i\in\{0,1\}$ and $n\in\mathbb{N}$, then the complex integral line of $f$ along the boundary of any triangle in $U$ vanishes.

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Cristian López Morales, Camilo Ramírez Maluendas. 2023-06-22. On the Cauchy Integral Theorem and Polish spaces. https://arxiv.org/abs/2306.13159

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