A rectifiable current is a mathematical object in geometric measure theory that generalizes the notion of oriented surfaces. It is defined as a current that can be represented as a finite sum of integral currents, which have well-defined area and orientation properties. This concept connects to various properties of currents, including how they can be sliced and projected, as well as their role in the closure theorem that establishes conditions for their convergence and compactness.
congrats on reading the definition of Rectifiable Current. now let's actually learn it.