Compactification is a process in mathematics that transforms a non-compact space into a compact space by adding 'points at infinity' or other limits. This technique is particularly useful in various areas of geometry, allowing for the extension of properties and theorems to a more comprehensive context. In the realm of tropical geometry, compactification aids in understanding intersections of tropical varieties by managing behaviors at infinity, ultimately facilitating the application of concepts like Bézout's theorem.
congrats on reading the definition of Compactification. now let's actually learn it.