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bioRxiv · 10.1101/240499

On a non-trivial application of Algebraic Topology to Molecular Biology

Braslavsky, I.·Stavans, J.
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Abstract

Brouwers 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 Brouwers 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.

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Braslavsky, I., Stavans, J.. 2017-12-30. On a non-trivial application of Algebraic Topology to Molecular Biology. https://doi.org/10.1101/240499

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