Imbedding

To lay as in a bed; to lay in surrounding matter; to bed.

"to embed something in clay, mortar, or sand"

(by extension) To include in surrounding matter.

"We wanted to embed our reporter with the Fifth Infantry Division, but the Army would have none of it."

To encapsulate within another document or data file.

"The instructions showed how to embed a chart from the spreadsheet within the wordprocessor document."

To define a one-to-one function from (one set) to another so that certain properties of the domain are preserved when considering the image as a subset of the codomain.

The act or process by which one thing is embedded in another.

A map which maps a subspace (smaller structure) to the whole space (larger structure).