Math concepts - Hard 1

Can you figure out what the described math concepts are?

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Last updated: August 9, 2024

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Description	Answer
57 is this kind of prime.	Grothendieck prime
A mathematical entity described using an atlas of charts.	Manifold
The field of math concerned with entities described only by vertices and edges.	Graph theory
The Jones polynomial is an invariant of these things.	Knots
In a monoidal category, an object M with an associative "unital" morphism M⊗M -> M is this.	Monoid
The thing from the previous answer, specialized to the category of endofunctors.	Monad
This property of functions is often described as "The graph of the function can be drawn without lifting the pen of the paper".	Continuity
V - E + F	Euler characteristic
"The internal consistency of mathematics cannot be proven" is a corollary of this famous theorem.	Gödel's first incompleteness theorem
A natural transformation is a morphism of this.	Functor
This branch of mathematics is heavily used in functional programming.	Category theory