# Introducing Knot Theory

This is too silly not to do…

 If I were a Springer-Verlag Graduate Text in Mathematics, I would be W.B.R. Lickorish’s An Introduction to Knot Theory. I am an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in three-dimensional space. I consist of a selection of topics which graduate students have found to be a successful introduction to the field. Three distinct techniques are employed; Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology.Which Springer GTM would you be? The Springer GTM Test

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### 2 Responses to Introducing Knot Theory

1. Ken Doyle says:

Me:

You are Saunders Mac Lane’s Categories for the Working Mathematician.
You provide an array of general ideas useful in a wide variety of fields. Starting from foundations, you illuminate the concepts of category, functor, natural transformation, and duality. You then turn to adjoint functors, which provide a description of universal constructions, an analysis of the representation of functors by sets of morphisms, and a means of manipulating direct and inverse limits.

Hmmm…

2. Åsa Karlström says:

I can’t refuse a test on a Monday morning 🙂
“You are Frank Warner’s Foundations of Differentiable Manifolds and Lie Groups
You give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. You include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find you extremely useful.”
I guess I should go and look up some of the things “I am” since I’m not sure what all that means … ‘sheaf cohomology theory’? Monday morning indeed…