Author Archives: Behnam Esmayli

About Behnam Esmayli

I started PhD in Mathematics at Pitt in Fall 2015. I have come to grow a passion for metric spaces -- a set and a distance function that satisfies the triangle inequality -- simple and beautiful! These spaces when equipped with other structures, such as a measure, becomes extremely fun to play with!

What is a Manifold? (2/6)

We continue from Part One of this journey our attempt to illustrate how one can start with calculus and arrive at the definition of a 1-dimensional manifold. In the previous segment, we concluded with the fact that a curve in  may … Continue reading

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What is a manifold? Yet another article! (1/6)

Why (yet) another article? There are competing theories online about possible interpretations of John von Neumann’s quote, but manifolds are definitely some mathematics that “you don’t understand … you just get used to them,” — at least for a while. In a series of … Continue reading

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