the study of

How Things Compose

what is it?

\(f: A \longrightarrow B\)

 

The Set of \( \mathbb{R} \)eal Numbers

an order: each number is either less or more than any other number.

algebraic structure: there are operations of \( * \) and \( + \) that make it into a field.

a measure: intervals along the real line have a specific length

a metric: there is a notion of distance between points.

a topology: there is a notion of open sets.

Mathematical Structure

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Mathematical Structure

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