In topology and related areas of mathematics, a **quotient space** (also called an **identification space**) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given space. The points to be identified are specified by an equivalence relation. This is commonly done in order to construct new spaces from given ones.

Read more about Quotient Space: Definition, Examples, Properties, Compatibility With Other Topological Notions

### Famous quotes containing the word space:

“No being exists or can exist which is not related to *space* in some way. God is everywhere, created minds are somewhere, and body is in the *space* that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that *space* is an effect arising from the first existence of being, because when any being is postulated, *space* is postulated.”

—Isaac Newton (1642–1727)