quotient space

(redirected from Quotient map)

quotient space

[′kwō·shənt ‚spās]
(mathematics)
The topological space Y which is the set of equivalence classes relative to some given equivalence relation on a given topological space X ; the topology of Y is canonically constructed from that of X. Also known as factor space.
References in periodicals archive ?
2) f is a quotient map, if U open in Y whenever [f.
Let f : X [right arrow] Y be a quotient map from a Frechet space X onto Y.
It is clear because f is a quotient map from a metric space onto X .