How Does Topology Relate to DNA Structure and Function?

thE3nigma
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I was wondering if topology has ever been utilized on the structure of DNA and how that applies to its functions? I am assuming that it has as this is one of the most obsessed over molecules in the 21st century.

I am interested in this area of topology if it exists. Also I have no previous knowledge of the field of topology, and was wondering if I wanted to take this field up as a hobby, what would I have to study before hand? As in, which particular maths would make my life easier. I have currently only studied Calculus, single variables about three years ago. I am a Molecular Biology student, so haven't touched any other math. Thanks for any help in either questions.
 
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thE3nigma said:
I was wondering if topology has ever been utilized on the structure of DNA and how that applies to its functions? I am assuming that it has as this is one of the most obsessed over molecules in the 21st century.

I am interested in this area of topology if it exists. Also I have no previous knowledge of the field of topology, and was wondering if I wanted to take this field up as a hobby, what would I have to study before hand? As in, which particular maths would make my life easier. I have currently only studied Calculus, single variables about three years ago. I am a Molecular Biology student, so haven't touched any other math. Thanks for any help in either questions.

http://cmgm.stanford.edu/biochem201/Handouts/Topology.pdf
 
Thanks for the link. So really with respect to DNA, the math is not so complicated as it seems from the paper? Correct? DNA topology is more interested in the qualitative features of the molecule? As compared to quantitative.
 
Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...

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