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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
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    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.

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    Bibliographic Info

    Paper provided by Santa Fe Institute in its series Working Papers with number 01-02-011.

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    Date of creation: Feb 2001
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    Handle: RePEc:wop:safiwp:01-02-011

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
    2. 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.
    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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