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### What is Knot Theory?

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Date: 03/10/98 at 23:46:23
From: keatha
Subject: the knot theory

Dear Dr. Math,

In order for me to complete my project on knot theory, I need a
question, hypothesis, and a purpose. I have this information, I just
want you to proofread it to see if I need to add anything or delete
anything.

Question: What is Knot Theory?
Purpose: To prove that knot theory is related to topology.
Hypothesis: If topology deals with the bending of objects, then it
(knot theory) is related to topology.

Thanks a million,
Keatha
```

```
Date: 03/11/98 at 10:32:24
From: Doctor Sonya
Subject: Re: the knot theory

Dear Keatha,

I just wrote a big paper on knot theory. What a great topic to choose.
Your question is good, and your hypothesis is correct -- that topology
deals with the bending of objects, and that topology is related to
knot theory. However, if you really want to answer the question, "What
is knot theory?" I don't think, "Knot theory is related to topology."
is enough of an answer. When you get to the real details of it, knot
theory is also closely related to modern algebra (although you'd never
know it from all the pretty pictures of knots!).

The most exciting thing about knot theory that deals with the bending
and twisting of knots is something called the "Jones Polynomial,"
discovered by a mathematician named Jones and written about by Louis
Kauffman. If you still have to do more research, this might be
interesting for you to include. Also, take a look at

-Doctor Sonya, The Math Forum
Check out our web site! http://mathforum.org/dr.math/
```
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