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Connected pretopology in recombination space

Theory in Biosciences volume 139, pages 145–151 (2020)Cite this article

Abstract

Topological features evolved from genetic operators in the recombination space play a crucial role in the course of evolution. Different crossover models generated in a recombination space can be structured by pretopological space. This paper deals with several types of connectedness properties of recombination space in three different cases of unequal crossover of recombination space structured as pretopology. It is shown that unrestricted unequal crossover is one-sidedly connected and consequently hyper-connected, apo-connected and connected as well. Restricted unequal crossover is hyper-connected and connected. Unequal sister chromatid exchange is connected.

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  1. Department of Mathematics, Namrup College Under Dibrugarh University, Dibrugarh, Assam, India

    Chandra Kanta Phukan

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  1. Chandra Kanta Phukan
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Correspondence to Chandra Kanta Phukan.

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Phukan, C.K. Connected pretopology in recombination space. Theory Biosci. 139, 145–151 (2020). https://doi.org/10.1007/s12064-019-00304-3

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  • DOI: https://doi.org/10.1007/s12064-019-00304-3

Keywords

  • Closure operator
  • Strong connectedness
  • Hyper-connectedness
  • Apo-connectedness