ELI5: Explain Like I'm 5

Graded manifold

A graded manifold is like a playground or park with different levels. Just like a playground has a slide, swings and other fun activities, a graded manifold has different levels that have different features. The features may be things like hills, valleys, or mountains. You can explore different levels of the graded manifold and have different experiences, like going from a high level to a low level. In math, a graded manifold is used to explore and understand certain topics, like geometry and topology.