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Recombination Spaces, Metrics, and Pretopologies

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  • BŠrbel M. R. Stadler
  • Peter F. Stadler
  • Max Shpak
  • GŸnter P. Wagner

Abstract

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.

Suggested Citation

  • BŠrbel M. R. Stadler & Peter F. Stadler & Max Shpak & GŸnter P. Wagner, 2001. "Recombination Spaces, Metrics, and Pretopologies," Working Papers 01-02-011, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:01-02-011
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    References listed on IDEAS

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    1. W. Fontana & P. Schuster, 1998. "Shaping Space: The Possible and the Attainable in RNA Genotype-Phenotype Mapping," Working Papers ir98004, International Institute for Applied Systems Analysis.
    2. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
    3. BŠrbel M. R. Stadler & Peter F. Stadler & GŸnter P. Wagner & Walter Fontana, 2000. "The Topology of the Possible: Formal Spaces Underlying Patterns of Evolutionary Change," Working Papers 00-12-070, Santa Fe Institute.
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    Cited by:

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    2. Matthew Wright, 2017. "A litmus test for society: Reserve Bank decimal note designs 1967–2017," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 80, pages 1-18, July.

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