Application of Algebraic Topology to Homologous Recombination of DNA

Research output: Contribution to journalArticlepeer-review


Brouwer's fixed point theorem, a fundamental theorem in algebraic topology proved more than a hundred years ago, states that given any continuous map from a closed, simply connected set into itself, there is a point that is mapped unto itself. Here we point out the connection between a one-dimensional application of Brouwer's fixed point theorem and a mechanism proposed to explain how extension of single-stranded DNA substrates by recombinases of the RecA superfamily facilitates significantly the search for homologous sequences on long chromosomes.

Original languageAmerican English
Pages (from-to)64-67
Number of pages4
Early online date17 May 2018
StatePublished - 29 Jun 2018


  • Biophysics
  • Genetics
  • Mathematical Physics

All Science Journal Classification (ASJC) codes

  • General


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