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arXiv · 2603.06069

Topological pressure for holomorphic correspondences using open covers

Subith Gopinathan
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Abstract

In this paper, we define the topological pressure of continuous functions with respect to the holomorphic correspondences using the open covers of the Riemann sphere. Further, we show that this method coincides with the existing definition of pressure that uses the notion of separated and spanning family of orbits.

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Subith Gopinathan. 2026-03-06. Topological pressure for holomorphic correspondences using open covers. https://arxiv.org/abs/2603.06069

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