quotient map
Word Rarity
Rare
Frequency: Zipf frequency 2.94 in modern English
24
Scrabble Score
11
Letters
3
Syllables
10
Unique Chars
Meaning
noun
A surjective, continuous function from one topological space to another one, such that the latter one's topology has the property that if the inverse image (under the said function) of some subset of it is open in the function's domain, then the subset is open in the target space.
Example Sentences
- "If the square #91;0,1#93;#92;times#91;0,1#93; (with the subspace topology) in #92;mathbb#123;R#125;² (with the standard topology) is mapped onto the set #91;0,1)#92;times#91;0,1) with the quotient map f(x,y)#61;(#92;lfloorx#92;rfloor,#92;lfloory#92;rfloor), then the target space (with its induced quotient topology) is topologically equivalent to a torus."
Inflected Forms
Phrases
quotient space
quotient topology
Frequently Paired Words
quotient space
quotient topology