Abstract

We show that a pointwise convergent sequence (σn)n∈N of continuous collineations of a compact projective plane converges uniformly if and only if the pointwise limitα of (σn)n∈N has a quadrangle in its image. Moreoverα is then a continuous collineation. Furthermore, we derive that a homomorphism between topological projective planes is continuous if and only if it is continuous at some point.

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