An embedding refers to the representation of a topological object, manifold, graph, field, and so on, within a specific space. This representation is crafted in a manner that safeguards its connectivity or algebraic characteristics. For instance, a field embedding maintains the algebraic structure of addition and multiplication operations. An embedding of a topological space retains its open sets, and a graph embedding preserves its connectivity. We say that one space X is embedded in another space Y when the properties of Y, when confined to X, are identical to those of X.
