A deck transformation is a homeomorphism of a covering space that maps fibers to fibers, preserving the structure of the covering. Each deck transformation corresponds to a way to 'move around' the covering space while staying within the same fiber above a point in the base space. These transformations are crucial for understanding the relationship between covering spaces and their base spaces, especially in terms of lifting properties.
congrats on reading the definition of Deck Transformation. now let's actually learn it.