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arXiv · 0807.2934

On Blocking Numbers of Surfaces

Wing Kai Ho
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Abstract

The blocking number of a manifold is the minimal number of points needed to block out lights between any two given points in the manifold. It has been conjectured that if the blocking number of a manifold is finite, then the manifold must be flat. In this paper we prove that this is true for 2-dimensional manifolds with non-trivial fundamental groups.

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Wing Kai Ho. 2008-08-27. On Blocking Numbers of Surfaces. https://arxiv.org/abs/0807.2934

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