TBI-Preprint 01-02-011

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Recombination Spaces, Metrics, and Pretopologies

Bärbel M.R. Stadler, Peter F. Stadler, Max Shpak, Günter Wagner

The topological features of genotype spaces given a genetic operator have a substantial impact on the course of evolution. We explore the structure of the recombination spaces arising from four different unequal crossover models in the context of pretopological spaces. We show that all four models are incompatible with metric distance measures due to a lack of symmetry.

Keywords: Unequal Crossover, Recombination Spaces, Pretopology

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