Subspaces

In mathematics, a subspace is a smaller section within a larger space, like a room inside a house, that still retains the same overall properties. For example, in three-dimensional space, a flat surface like a sheet of paper is a subspace because it exists within the larger space but is still a complete, self-contained area. Subspaces follow specific rules: they contain the zero point, and anything added or scaled within them stays inside. These concepts help in understanding complex mathematical structures by breaking them into manageable parts that share the same fundamental characteristics.